Výpis publikací

JANYŠKA, Josef a Marco MODUGNO. Minimal coupling of gravitational and electromagnetic fields in General Relativity. In I. S. Krasil′shchik, A. B. Sossinsky, A. M. Verbovetsky. The Diverse World of PDEs : Geometry and Mathematical Physics. první. USA: American Mathematical Society. s. 151-164. ISBN 978-1-4704-7147-7. doi:10.1090/conm/788/15824. 2023.

JANYŠKA, Josef a Marco MODUGNO. An Introduction to Covariant Quantum Mechanics. 1. vyd. Berlin: Spriger Nature. 838 s. Fundamental Theories of Physics 205. ISBN 978-3-030-89588-4. doi:10.1007/978-3-030-89589-1. 2022.

JANYŠKA, Josef a Marco MODUGNO. Smooth and F-smooth systems with applications to Covariant Quantum Mechanics. 1. vyd. Brno: MUNI Press. 128 s. Folia Facultatis Scientiarum Naturalium Universitatis Masarykianae Brunensia, Mathematica 20. ISBN 978-80-210-8626-5. doi:10.5817/CZ.MUNI.M210-8631-2022. 2022.

JANYŠKA, Josef a Marco MODUGNO. Smooth and F-smooth systems with applications to Covariant Quantum Mechanics. 1., elektronické vyd. Brno: Masarykova univerzita. 128 s. Folia Facultatis Scientiarum Naturalium Universitatis Masarykianae Brunensia, Mathematica 20. ISBN 978-80-210-8631-9. doi:10.5817/CZ.MUNI.M210-8631-2022. 2022.

JANYŠKA, Josef a Marco MODUGNO. Smooth and F-smooth systems with applications to Covariant Quantum Mechanics. 1. vyd. Brno: Masarykova univerzita. 128 s. Folia Facultatis Scientiarum Naturalium Universitatis Masarykianae Brunensia, Mathematica 20. ISBN 978-80-210-8626-5. 2022.

JANYŠKA, Josef. Analytická teorie kuželoseček a kvadrik. 2021.

JANYŠKA, Josef, Jan VONDRA a Jiří HERBER. Analytická geometrie v rovině. 1. vydání, hybridní učebnice. Plzeň: Fraus. 72 s. Matematika s nadhledem od prváku k maturitě, 12. díl. ISBN 978-80-7489-529-6. 2020.

JANYŠKA, Josef. Geometrická zobrazení. 2020.

JANYŠKA, Josef. Remarks on natural differential operators with tensor fields. Archivum Mathematicum. Brno: MU Brno, roč. 55, č. 5, s. 289-308. ISSN 0044-8753. doi:10.5817/AM2019-5-289. 2019.

JANYŠKA, Josef, Marco MODUGNO a Dirk SALLER. Infinitesimal Symmetries in Covariant Quantum Mechanics. In Vladimír Dobrev. In book: Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics, Volume 2. Německo: Springer-Verlag. s. 319-336. ISSN 2194-1009. doi:10.1007/978-981-13-2179-5_25. 2018.

JANYŠKA, Josef. Remarks on local Lie algebras of pairs of functions. Czechoslovak Mathematical Journal. Praha: Institute of Mathematics, Czech Academy of Sciences, roč. 68 (2018), č. 3, s. 687-709. ISSN 0011-4642. doi:10.21136/CMJ.2017.0626-16. 2018.

JANYŠKA, Josef a Marco MODUGNO. Quantum potential in covariant quantum mechanics. Differential Geometry and its Applications. Amsterdam: Elsevier Science, roč. 54, October, s. 175-193. ISSN 0926-2245. doi:10.1016/j.difgeo.2017.03.021. 2017.

JANYŠKA, Josef. On Lie algebras of generators of infinitesimal symmetries of almost-cosymplectic-contact structures. Archivum Mathematicum. Brno: MU Brno, roč. 52, č. 5, s. 325-339. ISSN 1212-5059. doi:10.5817/AM2016-5-325. 2016.

JANYŠKA, Josef. Relations between constants of motion and conserved functions. Archivum Mathematicum. Brno: MU Brno, roč. 51, č. 5, s. 297-313. ISSN 0044-8753. doi:10.5817/AM2015-5-297. 2015.

JANYŠKA, Josef. Remarks on infinitesimal symmetries of geometrical structures of the classical phase space of general relativistic test particle. International Journal of Geometrical Methods in Modern Physics. World Scientific, roč. 12, č. 8, s. "nestrankovano", 7 s. ISSN 0219-8878. doi:10.1142/S0219887815600208. 2015.

JANYŠKA, Josef. Analytická geometrie v prostoru. Fraus. 143 s. ISBN 978-80-7489-075-8. 2014.

JANYŠKA, Josef. Hidden symmetries of the gravitational contact structure of the classical phase space of general relativistic test particle. Archivum Mathematicum. Brno: MU Brno, roč. 50, č. 5, s. 297-316. ISSN 0044-8753. doi:10.5817/AM2014-5-297. 2014.

JANYŠKA, Josef. Special bracket versus Jacobi bracket on the classical phase space of general relativistic test particle. International Journal of Geometrical Methods in Modern Physics. World Scientific, roč. 11, č. 7, s. "nestrankovano", 31 s. ISSN 0219-8878. doi:10.1142/S0219887814600202. 2014.

JANYŠKA, Josef. Analytická geometrie v rovině. on-line vydání. Fraus. 93 s. ISBN 978-80-7489-076-5. 2013.

JANYŠKA, Josef. Analytická geometrie: Kuželosečky. Fraus. 104 s. ISBN 978-80-7489-074-1. 2012.

JANYŠKA, Josef a Martin MARKL. Combinatorial differential geometry and ideal Bianchi–Ricci identities II - the torsion case. Archivum Mathematicum. Brno: Masaryk University, roč. 48, č. 1, s. 61-80. ISSN 0044-8753. doi:10.5817/AM2012-1-61. 2012.

JANYŠKA, Josef a Raffaele VITOLO. On the characterization of infinitesimal symmetries of the relativistic phase space. Journal of Physics A: Mathematical and Theoretical. Velká Británie: IOP Publishing, roč. 45, č. 48, s. 1-28. ISSN 1751-8113. doi:10.1088/1751-8113/45/48/485205. 2012.

JANYŠKA, Josef. Special phase functions and phase infinitesimal symmetries in classical general relativity. In Linan, M.B., Barbero, F., DeDiego, D.M. AIP Conf. Proc. 1460,, XX INTERNATIONAL FALL WORKSHOP ON GEOMETRY AND PHYSICS. 1. vyd. USA: American Institute of Physics. s. 135-140. ISBN 978-0-7354-1064-0. doi:10.1063/1.4733369. 2012.

JANYŠKA, Josef a Martin MARKL. Combinatorial differential geometry and ideal Bianchi–Ricci identities. Advances in Geometry. de Gruyter, roč. 11, č. 3, s. 509-540. ISSN 1615-715X. doi:10.1515/advgeom.2011.017. 2011.

JANYŠKA, Josef. General covariant derivatives for general connections. Differential Geometry and its Applications. Elsevier, roč. 29, S1, s. "S116"-"S124", 9 s. ISSN 0926-2245. doi:10.1016/j.difgeo.2011.04.016. 2011.

JANYŠKA, Josef. Reduction theorem for general connections. Annales Polonici Mathematici. Polsko, Varšava: Instytut Matematyczny PAN, roč. 102, č. 3, s. 231-254. ISSN 0066-2216. doi:10.4064/ap102-3-4. 2011.

JANYŠKA, Josef, Marco MODUGNO a Raffaele VITOLO. An algebraic approach to physical scales. Acta Applicandae Mathematicae. Kluwer, roč. 110, č. 3, s. 1249-1276. ISSN 0167-8019. 2010.

JANYŠKA, Josef a Marco MODUGNO. Generalized geometrical structures of odd dimensional manifolds. Journal de Mathematiques Pures et Appliquees. Francie: Elsevier SAS, roč. 91, č. 2, s. 211-232. ISSN 0021-7824. 2009.

JANYŠKA, Josef. Natural and gauge-natural bundles and natural Lagrangian structures. In Variations, Geometry and Physics. 1. vyd. New York: Nova Science Publishers. s. 143-166. in honour of Demeter Krupka's sixty-fifth birthday. ISBN 978-1-60456-920-9. 2009.

JANYŠKA, Josef a Jan VONDRA. Natural principal connections on the principal gauge prolongation of a principal bundle. REPORTS ON MATHEMATICAL PHYSICS. Elsevier SAS, roč. 64, č. 3, s. 395-415. ISSN 0034-4877. 2009.

JANYŠKA, Josef a Marco MODUGNO. Geometric structures of the classical general relativistic phase space. International Journal of Geometrical Methods in Modern Physics. World Scientific, roč. 5, č. 5, s. 699-754. ISSN 0219-8878. 2008.

JANYŠKA, Josef. Higher order Utiyama's invariant interaction. REPORTS ON MATHEMATICAL PHYSICS. Elsevier SAS, roč. 59, č. 1, s. 63-81, 18 s. ISSN 0034-4877. 2007.

JANYŠKA, Josef. Utiyama's reduction method and infinitesimal symmetries of invariant Lagrangians. In Symmetry and Preturbation Theory. první. Londýn: World Scientific. s. 255-256. ISBN 978-981-277-616-7. 2007.

JANYŠKA, Josef a Marco MODUGNO. An outline of covariant quantum mechanics. In Recent Developments in Gravitational Phzsics. USA: Amazon, Institute of Physics Conference Series. s. 367-384. ISBN 978-0-7503-0943-1. 2006.

JANYŠKA, Josef. Geometric structures on the tangent bundle of the Einstein spacetime. Archivum Mathematicum. Brno: Masaryk University, roč. 42, č. 2, s. 195-203. ISSN 0044-8753. 2006.

JANYŠKA, Josef a Marco MODUGNO. Graded Lie algebra of Hermitian tangent valued forms. Journal de Mathematiques Pures et Appliquees. Francie: Elsevier SAS, roč. 85, č. 5, s. 687-697. ISSN 0021-7824. 2006.

JANYŠKA, Josef a Marco MODUGNO. Hermitian vector fields and special phase functions. International Journal of Geometrical Methods in Modern Physics. World Scientific, roč. 3, č. 4, s. 719-754. ISSN 0219-8878. 2006.

JANYŠKA, Josef. Higher order Utiyama-like theorem. REPORTS ON MATHEMATICAL PHYSICS. Elsevier SAS, roč. 58, č. 1, s. 93-118. ISSN 0034-4877. 2006.

JANYŠKA, Josef, Ivan KOLÁŘ a Antonela CABRAS. On the geometry of variational calculus on some functional bundles. Note di Matematica. Itálie: Univerzita Lecce, roč. 2006, č. 1, s. 51-66. ISSN 1123-2536. 2006.

JANYŠKA, Josef a Marco MODUGNO. Quantum operators and Hermitian vector fields. In DIFFERENTIAL GEOMETRY AND PHYSICS. Čína: World Scientific. s. 97-106. ISBN 978-981-270-377-4. 2006.

JANYŠKA, Josef. Higher order valued reduction theorems for classical connections. Central European Journal of Mathematics. roč. 3, č. 2, s. 294-308. ISSN 1644-3616. 2005.

JANYŠKA, Josef. Natural connections given by general linear and classical connections. In Differential Geometry and its Application. první. Praha: MATFYZ PRESS. s. 289-303. ISBN 80-86732-63-0. 2005.

JANYŠKA, Josef, Ivan KOLÁŘ a Antonela CABRAS. Functorial prolongation of some functional bundles. Annales Academiae Paedagogicae Cracoviensis, Studia Mathematica IV. Krakov: Pedagogická akademie, roč. 2004, č. 1, s. 17-30. ISSN 1643-6555. 2004.

JANYŠKA, Josef. On the curvature of tensor product connections and covariant differentials. Supplemento di Rendiconti del Circolo Matematico di Palermo. Palermo, roč. 72, č. 1, s. 135-143. ISSN 0009-725X. 2004.

JANYŠKA, Josef. Reduction theorems for general linear connections. Differential Geometry and its Applications. Amsterdam: Elsevier Science, roč. 20, č. 2, s. 177-196. ISSN 0926-2245. 2004.

HORÁK, Pavel a Josef JANYŠKA. Analytická geometrie. 1. dotisk 1. vydání. Brno: Masarykova univerzita v Brně. 155 s. ISBN 80-210-1623-X. 2002.

JANYŠKA, Josef a Marco MODUGNO. Covariant pre-quantum operators. In Proceedings of the International Conference on "Differential Geometry and Its Applications", eds. O. Kowalski, D. Krupka and J. Slovák. Opava: Silesian University. s. 285-308. ISBN 80-7248-166-5. 2002.

JANYŠKA, Josef, Marco MODUGNO a Dirk SALLER. Covariant quantum mechanics and quantum symmetries. In Proceedings of the International Conference on "Recent Developments in General Relativity", eds. R. Cianci, R. Collina, M. Francaviglia and P. Fre. Německo: Springer-Verlag. s. 179-202. ISBN 80-7248-166-5. 2002.

JANYŠKA, Josef a Marco MODUGNO. Covariant Schroedinger operator. J. Phys. A: Math. Gen. UK: Institute of Physics Publishing, roč. 35, č. 40, s. 8407-8434. ISSN 0305-4470. 2002.

JANYŠKA, Josef a Marco MODUGNO. Uniqueness results by covariance in covariant quantum mechanics. In Proceedings of the Second International Symposium on "Quantum Theory and Symmetries", eds. E. Kapuscik, A. Horzela. New Jersey - London - Singapore: World Scientific. s. 404-411. ISBN 981-02-4887-3. 2002.

JANYŠKA, Josef. A remark on natural quantum Lagrangians and natural generalized Schroedinger operators in Galilei quantum mechanics. Supplemento ai Rendiconti del Circolo Matematico di Palermo,Serie II. Palermo, Itálie: Univerzita Palermo, roč. 66, č. 2, s. 117-128. ISSN 0009-725X. 2001.

JANYŠKA, Josef a Anna SEKANINOVÁ. Analytická teorie kuželoseček a kvadrik. 2. vyd. Brno: Masarykova univerzita. 178 s. ISBN 80-210-2604-9. 2001.

JANYŠKA, Josef. Natural Poisson and Jacobi structures on the tangent bundle of a pseudo-Riemannian manifold. In Global Differential Geometry: The Mathematical Legacy of Alfred Gray. 1. vyd. USA: American Mathematical Society. s. 343-347. Contemporary Mathematics 288. ISBN 0-8218-2750-2. 2001.

JANYŠKA, Josef. Natural vector fields and 2-vector fields on the tangent bundle of a pseudo-Riemannian manifold. Archivum Mathematicum. Brno: MU Brno, roč. 37, č. 2, s. 143-160. ISSN 0044-8753. 2001.

JANYŠKA, Josef a Marco MODUGNO. Quantisable functions in general relativity. 1. vyd. Ciombra: University of Coimbra. 21 s. Textos Mat. Ser. B. 2000.

JANYŠKA, Josef a Marco MODUGNO. On the graded Lie algebra of quantisable forms. In Differential Geometry and Applications. 1. vyd. Brno: Masarykova Univerzita. s. 601-620. ISBN 80-210-2097-0. 1999.

JANYŠKA, Josef, Arkadius JADCZYK a Marco MODUGNO. Galilei general relativistic quantum mechanics revisited. In Geometria, Física-Matemática e outros Ensaios. Coimbra: Univerzita Coimbra. s. 253-313. 1998.

JANYŠKA, Josef. Natural Lagrangians for quantum structures over 4-dimensional space-time. Rendiconti di Matematica, VII. Roma, roč. 18, č. 4, s. 623-648. ISSN 1120-7183. 1998.

HORÁK, Pavel a Josef JANYŠKA. Analytická geometrie. Brno: Masarykova univerzita v Brně. 151 s. ISBN 80-210-1623-X. 1997.

JANYŠKA, Josef a Marco MODUGNO. On quantum vector fields in general relativistic quantum mechanics. General Mathematics. Rumunsko, roč. 1997, č. 1, s. 199-217. ISSN 1221-5023. 1997.

JANYŠKA, Josef a Anna SEKANINOVÁ. Analytická teorie kuželoseček a kvadrik. Vyd. 1. Brno: Masarykova univerzita. 178 s. ISBN 80-210-1435-0. 1996.

JANYŠKA, Josef a Marco MODUGNO. Classical particle phase space in general relativity. In Differential Geometry and Applications. Brno: Masarykova Univerzita. s. 573-602. ISBN 80-210-1369-9. 1996.

JANYŠKA, Josef. Natural symplectic stuctures on the tangent bundle of a space time. Supplemento ai Rendiconti del Circolo Matematico di Palermo,Serie II. roč. 43, č. 2, s. 153-162. ISSN 0009-725X. 1996.

JANYŠKA, Josef a Marco MODUGNO. Relations between linear connections on the tangent bundle and connections on the jet bundle of a fibred manifold. Archivum Mathematicum. Brno: MU Brno, roč. 32, č. 4, s. 281-288. ISSN 0044-8753. 1996.

JANYŠKA, Josef. Natural quantum Lagrangians in Galilei quantum mechanics. Rendiconti di Matematica, VII. Roma, roč. 15, č. 4, s. 457-468. ISSN 1120-7183. 1995.

JANYŠKA, Josef. Remarks on symplectic and contact 2-forms in relativistic theories. Bollettino Unione Mat. Italiana (7). roč. 9-B, č. 4, s. 587-616, 1995.