Homogeneous Geodesics in Generalized Wallach Spaces
Andreas Arvanitoyeorgos, Yu Wang
TL;DR
This paper classifies generalized Wallach spaces that are geodesic orbit spaces and studies homogeneous geodesics within these spaces for various invariant Riemannian metrics, providing specific examples.
Contribution
It offers a complete classification of g.o. spaces among generalized Wallach spaces and analyzes homogeneous geodesics for different metrics, including examples.
Findings
Identified all generalized Wallach spaces that are g.o. spaces.
Analyzed homogeneous geodesics for various invariant metrics.
Provided explicit examples of homogeneous geodesics.
Abstract
We classify generalized Wallach spaces which are g.o. spaces. We also investigate homogeneous geodesics in generalized Wallach spaces for any given invariant Riemannian metric and we give some examples.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Geometric Analysis and Curvature Flows · Fixed Point Theorems Analysis