Work

Geodesic orbit and weakly symmetric spray manifolds

Year: 2025

Type: article

Abstract: In this paper, we introduce the geodesic orbit and weakly symmetric properties in homogeneous spray geometry. When a homogeneous spray manifold is endowed with a reductive decomposition, we use the spray vector field to describe these properties, and prove that a weakly symmetric spray manifold must be geodesic orbit, which generalizes its analog in homogeneous Riemannian and Finsler geometries.

Source: Comptes Rendus Mathématique

DOI: 10.5802/crmath.673

Authors: Xiyun Xu, Ming Xu

Institution: Capital Normal University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Awards: G146394020, G2804188644