Work

Invariant geodesic orbit metrics on homogeneous spaces with intermediate subgroups

Year: 2026

Type: article

Abstract: In this paper, we study G -g.o. metrics on compact homogeneous spaces G / H with an intermediate subgroup K such that H ⊂ K ⊂ G . In the beginning, we prove that the restricted metrics of g on K / H and G / K are both g.o. metrics under certain conditions when g is a G -g.o. metric on G / H . Then we develop several methods to determine G -g.o. metrics on G / H by the representations of K / H and G / K . As an application, we study g.o. metrics on a class of homogeneous spaces and find that SO ( 11 ) / ( Spin ( 7 ) × SO ( 2 ) ) admits non-naturally reductive g.o. metrics.

Source: Journal of Lie Theory

DOI: 10.5802/jolt.1415

Authors: Huibin Chen, Zhiqi Chen, Fuhai Zhu

Institutions: Nanjing Normal University, Guangdong University of Technology, Nanjing University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funders: Nanjing Normal University, National Natural Science Foundation of China, Basic and Applied Basic Research Foundation of Guangdong Province

Awards: G2804188644, G3255040750, G3814715926, G410143758, G6329061414