Invariant prolongation of overdetermined PDEs in projective, conformal, and Grassmannian geometry
| Authors | |
|---|---|
| Year of publication | 2012 |
| Type | Article in Periodical |
| Magazine / Source | Annals of Global Analysis and Geometry |
| MU Faculty or unit | |
| 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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