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Isometric Immersions of Closed Manifolds of Nonnegative Curvature
Authors:N. D. Lebedeva
Affiliation:(1) St.Petersburg State University, Russia
Abstract:Let M be a closed manifold and let 
$$f:M to mathbb{R}^N$$
be an immersion inducing a C2-smooth (respectively, polyhedral) metric of nonnegative curvature on M. If this nonnegativity property is preserved under all affine transformations of 
$$mathbb{R}^N$$
, then f is an embedding into the boundary of a C2-smooth convex body (respectively, a convex polyhedron) in a certain 
$$mathbb{R}^{n+1} subset mathbb{R}^N$$
. Bibliography: 6 titles.
Keywords:
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