Invariant Matsumoto metrics on homogeneous spaces

H.R. Salimi Moghaddam

doi:ojm/1396966223

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Home > Journals > Osaka J. Math. > Volume 51 > Issue 1 > Article

January 2014 Invariant Matsumoto metrics on homogeneous spaces

H.R. Salimi Moghaddam

Osaka J. Math. 51(1): 39-47 (January 2014).

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Abstract

In this paper we consider invariant Matsumoto metrics which are induced by invariant Riemannian metrics and invariant vector fields on homogeneous spaces, and then we give the flag curvature formula of them. Also we study the special cases of naturally reductive spaces and bi-invariant metrics. We end the article by giving some examples of geodesically complete Matsumoto spaces.