Rigidity in non-negative curvature
Luis Guijarro, Peter Petersen (1997)
Annales scientifiques de l'École Normale Supérieure
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Luis Guijarro, Peter Petersen (1997)
Annales scientifiques de l'École Normale Supérieure
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Oldrich Kowalski (1971)
Journal für die reine und angewandte Mathematik
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Rendiconti del Seminario Matematico della Università di Padova
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Lobachevskii Journal of Mathematics
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We completely classify Riemannian -natural metrics of constant sectional curvature on the unit tangent sphere bundle of a Riemannian manifold . Since the base manifold turns out to be necessarily two-dimensional, weaker curvature conditions are also investigated for a Riemannian -natural metric on the unit tangent sphere bundle of a Riemannian surface.