A generalization of a theorem on naturally reductive homogeneous spaces

Kowalski, Oldřich; Vanhecke, Lieven

doi:10.1090/S0002-9939-1984-0744644-7

A generalization of a theorem on naturally reductive homogeneous spaces
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by Oldřich Kowalski and Lieven Vanhecke PDF

Proc. Amer. Math. Soc. 91 (1984), 433-435 Request permission

Abstract:

We prove that a homogeneous Riemannian manifold all of whose geodesics are orbits of one-parameter subgroups of isometries has volume-preserving local geodesic symmetries.

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