Unit tangent sphere bundles and two-point homogeneous spaces
E Boeckx, D Perrone, L Vanhecke - Periodica Mathematica Hungarica, 1998 - Springer
We characterize two-point homogeneous spaces, locally symmetric spaces, C and B-spaces
via properties of the standard contact metric structure of their unit tangent sphere bundle.
Further, under various conditions on a Riemannian manifold, we show that its unit tangent
sphere bundle is a (locally) homogeneous contact metric space if and only if the manifold
itself is (locally) isometric to a two-point homogeneous space.
via properties of the standard contact metric structure of their unit tangent sphere bundle.
Further, under various conditions on a Riemannian manifold, we show that its unit tangent
sphere bundle is a (locally) homogeneous contact metric space if and only if the manifold
itself is (locally) isometric to a two-point homogeneous space.
[引用][C] Unit tangent sphere bundles and two-point homogeneous spaces
D Perrone, E Boeckx, L Vanhecke - 1998 - iris.unisalento.it
Unit tangent sphere bundles and two-point homogeneous spaces … Unit tangent sphere
bundles and two-point homogeneous spaces …
bundles and two-point homogeneous spaces …
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