Symmetries of Parabolic Geometries

Details Symmetries of Parabolic Geometries Symmetries of Parabolic Geometries

2009-01-06

arxiv.org/abs/0901.0626v1

Differential Geometry and its Applications 27, No. 5, 2009, 605-622

Mathematics

Differential Geometry

Scientific paper

10.1016/j.difgeo.2009.03.001

We generalize the concept of affine locally symmetric spaces for parabolic geometries. We discuss mainly $|1|$--graded geometries and we show some restrictions on their curvature coming from the existence of symmetries. We use the theory of Weyl structures to discuss more interesting $|1|$--graded geometries which can carry a symmetry in a point with nonzero curvature. More concretely, we discuss the number of different symmetries which can exist at the point with nonzero curvature.

Affiliated with

Also associated with

No associations

Rating

Symmetries of Parabolic Geometries does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Symmetries of Parabolic Geometries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetries of Parabolic Geometries will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-632108