| ŠILHAN, Josef, Vladimír SOUČEK, Petr SOMBERG a Matthias HAMMERL. Invariant prolongation of overdetermined PDEs in projective, conformal, and Grassmannian geometry. Annals of Global Analysis and Geometry. Springer, 2012, roč. 42, č. 1, s. 121-145. ISSN 0232-704X. Dostupné z: 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 a Matthias HAMMERL. Invariant prolongation of overdetermined PDEs in projective, conformal, and Grassmannian geometry. \textit{Annals of Global Analysis and Geometry}. Springer, 2012, roč.~42, č.~1, s.~121-145. ISSN~0232-704X. Dostupné z: https://dx.doi.org/10.1007/s10455-011-9306-9.
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