Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606606 | Differential Geometry and its Applications | 2009 | 18 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Lenka Zalabová,