Journal of Soviet Mathematics

, Volume 53, Issue 5, pp 526–532 | Cite as

Riemannian Hilbert submanifolds of nonpositive extrinsic curvature

  • S. I. Okrut
Article
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Abstract

We consider strongly parabolic, Hilbert submanifolds in Riemannian Hilbert manifolds. We prove that their properties are analogous to the known properties in the finite-dimensional case. The main geometric result consists of Theorem 3: a complete, Riemannian, Hilbert submanifold of nonpositive extrinsic curvature and finite codimension in a Hilbert sphere is a great sphere.

Keywords

Manifold Extrinsic Curvature Geometric Result Finite Codimension Great Sphere 
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Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • S. I. Okrut

There are no affiliations available

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