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://dx.doi.org/10.1007/s10455-011-9306-9. |
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@article{978395, author = {Šilhan, Josef and Souček, Vladimír and Somberg, Petr and Hammerl, Matthias}, article_number = {1}, doi = {http://dx.doi.org/10.1007/s10455-011-9306-9}, keywords = {Parabolic geometry - prolongation of invariant PDE’s - BGG sequence - tractor covariant derivatives - projective geometry - conformal geometry - Grassmannian geometry}, language = {eng}, issn = {0232-704X}, journal = {Annals of Global Analysis and Geometry}, title = {Invariant prolongation of overdetermined PDEs in projective, conformal, and Grassmannian geometry}, url = {http://www.springerlink.com/content/4l90g13057177556/}, volume = {42}, year = {2012} }
TY - JOUR ID - 978395 AU - Šilhan, Josef - Souček, Vladimír - Somberg, Petr - Hammerl, Matthias PY - 2012 TI - Invariant prolongation of overdetermined PDEs in projective, conformal, and Grassmannian geometry JF - Annals of Global Analysis and Geometry VL - 42 IS - 1 SP - 121-145 EP - 121-145 PB - Springer SN - 0232704X KW - Parabolic geometry - prolongation of invariant PDE’s - BGG sequence - tractor covariant derivatives - projective geometry - conformal geometry - Grassmannian geometry UR - http://www.springerlink.com/content/4l90g13057177556/ L2 - http://www.springerlink.com/content/4l90g13057177556/ N2 - This is the second in a series of articles on a natural modification of the normal tractor connection on parabolic geometries, which naturally prolongs an underlying overdetermined system of invariant differential equations. We give a short review of the general procedure developed in Hammerl et al. (preprint) and then compute the prolongation covariant derivatives for a number of interesting examples in projective, conformal, and Grassmannian geometries. ER -
ŠILHAN, Josef, Vladimír SOUČEK, Petr SOMBERG and Matthias HAMMERL. Invariant prolongation of overdetermined PDEs in projective, conformal, and Grassmannian geometry. \textit{Annals of Global Analysis and Geometry}. Springer, 2012, vol.~42, No~1, p.~121-145. ISSN~0232-704X. Available from: https://dx.doi.org/10.1007/s10455-011-9306-9.
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