Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

A generalization of a theorem on naturally reductive homogeneous spaces

Authors: Oldřich Kowalski and Lieven Vanhecke
Journal: Proc. Amer. Math. Soc. 91 (1984), 433-435
MSC: Primary 53C30
MathSciNet review: 744644
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 53C30

Retrieve articles in all journals with MSC: 53C30

Additional Information

PII: S 0002-9939(1984)0744644-7
Keywords: Naturally reductive homogeneous spaces, commutative spaces, generalized Heisenberg groups, volume-preserving geodesic symmetries, orbits of one-parameter subgroups
Article copyright: © Copyright 1984 American Mathematical Society