| 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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