Publication Records

BLITZ, Samuel Harris and Josef ŠILHAN. Holography of Higher Codimension Submanifolds: Riemannian and Conformal. Symmetry, Integrability and Geometry: Methods and Applications. KYIV 4: Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine, 2025, vol. 21, January, p. 1-41. ISSN 1815-0659. Available from: https://doi.org/10.3842/SIGMA.2025.002.

KYCIA, Radoslaw Antoni and Josef ŠILHAN. Inverting covariant exterior derivative. Analysis and Mathematical Physics. Springer, 2025, vol. 15, No 4, p. 1-41. ISSN 1664-2368. Available from: https://doi.org/10.1007/s13324-025-01085-3.

ŠILHAN, Josef and Jan GREGOROVIČ. The gap phenomenon for conformally related Einstein metrics. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. HOBOKEN: WILEY, 2024, vol. 56, No 10, p. 3209-3228. ISSN 0024-6093. Available from: https://doi.org/10.1112/blms.13128.

HAMMERL, Matthias; Katja SAGERSCHNIG; Josef ŠILHAN and Vojtěch ŽÁDNÍK. Modified conformal extensions. Annals of Global Analysis and Geometry. Springer, 2023, vol. 64, No 3, p. 1-37. ISSN 0232-704X. Available from: https://doi.org/10.1007/s10455-023-09918-9.

SOMBERG, Petr and Josef ŠILHAN. Higher symmetries of symplectic Dirac operator. Geometriae Dedicata. Dordrecht: Springer, 2020, vol. 209, No 1, p. 177-198. ISSN 0046-5755. Available from: https://doi.org/10.1007/s10711-020-00529-3.

HAMMERL, Matthias; Katja SAGERSCHNIG; Josef ŠILHAN; Arman TAGHAVI-CHABERT and Vojtěch ŽÁDNÍK. Conformal Patterson-Walker metrics. The Asian Journal of Mathematics. Boston: International Press, 2019, vol. 23, No 5, p. 703-734. ISSN 1093-6106. Available from: https://doi.org/10.4310/AJM.2019.v23.n5.a1.

ŠILHAN, Josef and Vojtěch ŽÁDNÍK. Conformal theory of curves with tractors. Journal of Mathematical Analysis and Applications. San Diego, USA: Elsevier, 2019, vol. 473, No 1, p. 112-140. ISSN 0022-247X. Available from: https://doi.org/10.1016/j.jmaa.2018.12.038.

HAMMERL, Matthias; Katja SAGERSCHNIG; Josef ŠILHAN; Arman TAGHAVI-CHABERT and Vojtěch ŽÁDNÍK. Fefferman-Graham ambient metrics of Patterson-Walker metrics. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. HOBOKEN: WILEY, 2018, vol. 50, No 2, p. 316-320. ISSN 0024-6093. Available from: https://doi.org/10.1112/blms.12136.

ŠILHAN, Josef and Vojtěch ŽÁDNÍK. O křivkách a křivostech (On curves and curvatures). Kvaternion. 2018, vol. 2018, 1-2, p. 25-36. ISSN 1805-1324.

HAMMERL, Matthias; Katja SAGERSCHNIG; Josef ŠILHAN; Arman TAGHAVI-CHABERT and Vojtěch ŽÁDNÍK. A Projective-to-Conformal Fefferman-Type Construction. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2017, vol. 13, No 81, p. 1-33. ISSN 1815-0659. Available from: https://doi.org/10.3842/SIGMA.2017.081.

MICHEL, Jean-Philippe; Petr SOMBERG and Josef ŠILHAN. PROLONGATION OF SYMMETRIC KILLING TENSORS AND COMMUTING SYMMETRIES OF THE LAPLACE OPERATOR. Rocky Mountain Journal of Mathematics. TEMPE: ROCKY MT MATH CONSORTIUM, 2017, vol. 47, No 2, p. 587-619. ISSN 0035-7596. Available from: https://doi.org/10.1216/RMJ-2017-47-2-587.

MICHEL, Jean-Philippe; Fabian RADOUX and Josef ŠILHAN. SECOND ORDER SYMMETRIES OF THE CONFORMAL LAPLACIAN. Online. In Mladenov, IM Ludu, A Yoshioka, A. PROCEEDINGS OF THE SIXTEENTH INTERNATIONAL CONFERENCE ON GEOMETRY, INTEGRABILITY AND QUANTIZATION. SOFIA: INST BIOPHYSICS & BIOMEDICAL ENGINEERING BULGARIAN ACAD SCIENCES, 2015, p. 231-249. ISSN 1314-3247. Available from: https://doi.org/10.7546/giq-16-2015-231-249.

MICHEL, Jean-Philippe; Fabian RADOUX and Josef ŠILHAN. Second order symmetries of the conformal laplacian and R-separation. Online. In XXXTH INTERNATIONAL COLLOQUIUM ON GROUP THEORETICAL METHODS IN PHYSICS (ICGTMP) (GROUP30). BRISTOL: IOP PUBLISHING LTD, 2015, p. 1-11. ISSN 1742-6588. Available from: https://doi.org/10.1088/1742-6596/597/1/012058.

ŠILHAN, Josef and Rod GOVER. Conformal Operators on Weighted Forms; Their Decomposition and Null Space on Einstein Manifolds. Annales Henri Poincaré. Switzerland, 2014, vol. 15, No 4, p. 679-705. ISSN 1424-0637. Available from: https://doi.org/10.1007/s00023-013-0258-4.

ŠILHAN, Josef. Conformally invariant quantization – towards the complete classification. Differential Geometry and its Applications. Amsterdam: Elsevier Science, 2014, vol. 33, Supplement, p. 162-176. ISSN 0926-2245. Available from: https://doi.org/10.1016/j.difgeo.2013.10.016.

ŠILHAN, Josef; Jean-Philippe MICHEL and Fabian RADOUX. Second Order Symmetries of the Conformal Laplacian. Symmetry, Integrability and Geometry: Methods and Applications. Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine, 2014, vol. 10, No 16, p. "nestrankovano", 26 pp. ISSN 1815-0659. Available from: https://doi.org/10.3842/SIGMA.2014.016.

ŠILHAN, Josef and Rod GOVER. Higher symmetries of the conformal powers of the Laplacian on conformally flat manifolds. Journal of Mathematical Physics. USA: American Institute of Physics (AIP), 2012, vol. 53, No 3, p. "nestrankovano", 26 pp. ISSN 0022-2488. Available from: https://doi.org/10.1063/1.3692324.

ŠILHAN, Josef; Vladimír SOUČEK; Petr SOMBERG and Matthias HAMMERL. Invariant prolongation of overdetermined PDEs in projective, conformal, and Grassmannian geometry. Annals of Global Analysis and Geometry. Springer, 2012, vol. 42, No 1, p. 121-145. ISSN 0232-704X. Available from: https://doi.org/10.1007/s10455-011-9306-9.

ŠILHAN, Josef; Vladimír SOUČEK; Petr SOMBERG and Matthias HAMMERL. On a new normalization for tractor covariant derivatives. Journal of the European Mathematical Society. Springer, 2012, vol. 14, No 6, p. 1859-1883. ISSN 1435-9855. Available from: https://doi.org/10.4171/JEMS/349.

ŠILHAN, Josef and Andreas ČAP. Equivariant quantizations for AHS-structures. Advances in Mathematics. San Diego: Elsevier Science, 2010, vol. 224, No 4, p. 1717-1734. ISSN 0001-8708.

ŠILHAN, Josef and Rod GOVER. Commuting Linear Operators and Decompositions; Applications to Einstein Manifolds. Acta Applicandae Mathematicae. Kluwer, 2008, vol. 109, No 2, p. 555-589. ISSN 0167-8019.

ŠILHAN, Josef and Rod GOVER. Conformal Operators on Forms and Detour Complexes on Einstein Manifolds. Communications in Mathematical Physics. Springer Berlin / Heidelberg, 2008, vol. 284, No 2, p. 291-316, 25 pp. ISSN 0010-3616.

ŠILHAN, Josef and Rod GOVER. The conformal Killing equation on forms; prolongations and applications. Differential Geometry and its Applications. Amsterdam: Elsevier Science, 2008, vol. 26, No 3, p. 244-266, 22 pp. ISSN 0926-2245.

ŠILHAN, Josef and Rod GOVER. Commuting linear operators and algebraic decompositions. Archivum Mathematicum. Brno, 2007, vol. 43, No 5, p. 373-387, 14 pp. ISSN 1212-5059.

ŠILHAN, Josef. A real analog of Kostant's version of the Bott-Borel-Weil theorem. Journal of Lie Theory. Lemgo (Germany): Heldermann Verlag, 2004, vol. 14, No 2, p. 481--499, 18 pp. ISSN 0949-5932.

ŠILHAN, Josef. Algorithmic computations of Lie algebra cohomologies. Supplemento ai Rendiconti del Circolo Matematico di Palermo,Serie II. Palermo, 2003, vol. 2003, No 71, p. 191-197. ISSN 0009-725X.