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When is the unit tangent sphere bundle semi-symmetric?

Eric Boeckx, Giovanni Calvaruso

Source record

Source: Crossref

Published: Sep 1, 2004

DOI: 10.2748/tmj/1113246672

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Source abstract

We prove that the unit tangent sphere bundle of a Riemannian manifold is semi-symmetric if and only if it is locally symmetric, i.e., the base manifold is either flat or it is two-dimensional with constant sectional curvature 1.

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When is the unit tangent sphere bundle semi-symmetric? — Mathematical Frontier Network