Symmetries of parabolic geometries
Copyright policy )Symmetries of parabolic geometries
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.
- Schrödinger United States
- Masaryk University Czech Republic
Mathematics - Differential Geometry, Symmetric spaces, 53A30, 53A40, Parabolic geometries, Cartan geometries, 53C05, 53C15, Computational Theory and Mathematics, Differential Geometry (math.DG), Weyl structures, 53C15; 53A40; 53A30; 53C05, FOS: Mathematics, Geometry and Topology, |1|-graded geometries, Analysis
Mathematics - Differential Geometry, Symmetric spaces, 53A30, 53A40, Parabolic geometries, Cartan geometries, 53C05, 53C15, Computational Theory and Mathematics, Differential Geometry (math.DG), Weyl structures, 53C15; 53A40; 53A30; 53C05, FOS: Mathematics, Geometry and Topology, |1|-graded geometries, Analysis
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).8 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!