Invariant prolongation of overdetermined PDEs in projective, conformal, and Grassmannian geometry

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Authors

ŠILHAN Josef SOUČEK Vladimír SOMBERG Petr HAMMERL Matthias

Year of publication 2012
Type Article in Periodical
Magazine / Source Annals of Global Analysis and Geometry
MU Faculty or unit

Faculty of Science

Citation
Web http://www.springerlink.com/content/4l90g13057177556/
Doi http://dx.doi.org/10.1007/s10455-011-9306-9
Field General mathematics
Keywords Parabolic geometry - prolongation of invariant PDE’s - BGG sequence - tractor covariant derivatives - projective geometry - conformal geometry - Grassmannian geometry
Description 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.
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