On the Structure of Cut Loci in Compact Riemannian Symmetrie Spaces.
Takashi Sakai (1978)
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Takashi Sakai (1978)
Mathematische Annalen
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Stefan Halverscheid, Andrea Iannuzzi (2006)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On any real semisimple Lie group we consider a one-parameter family of left-invariant naturally reductive metrics. Their geodesic flow in terms of Killing curves, the Levi Civita connection and the main curvature properties are explicitly computed. Furthermore we present a group theoretical revisitation of a classical realization of all simply connected 3-dimensional manifolds with a transitive group of isometries due to L. Bianchi and É. Cartan. As a consequence one obtains a characterization...
S. SAWAKI (1962)
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P. WILKER (1959)
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H. Nakano (1965/66)
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Katsuhiro Shiohama (1973)
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