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Manifolds admitting
taut hyperspheres
James J. Hebda |
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Vol. 97 (1981), No. 1, 119–124
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Abstract |
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The definition of taut submanifolds in Euclidean space is extended to submanifolds of an arbitrary complete Riemannian manifold. Manifolds containing a tautly embedded hypersphere are characterized up to homeomorphism. Also, a partial result in this direction is proved for manifolds containing a tautly embedded sphere of arbitrary codimension. |
Mathematical Subject Classification 2000
Primary: 53C40
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Milestones
Received: 7 October 1980
Revised: 10 March 1981
Published: 1 November 1981
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Authors |
| James J. Hebda | |
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