Geodesically Equivalent Metrics on Homogenous Spaces

Two metrics on a manifold are geodesically equivalent if sets of their unparameterized geodesics coincide. In this paper we show that if two left $G$-invariant metrics of arbitrary signature on homogenous space $G/H$ are geodesically equivalent, they are affinely equivalent, i.e. they have the same...

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Bibliographische Detailangaben

Hauptverfasser:	Bokan, N, Sukilovic, T, Vukmirovic, S
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Differential Geometry
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