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Immersions with bounded curvature
Authors:Kevin Corlette
Institution:(1) Department of Mathematics, University of Chicago, 5734 South University Avenue, 60637 Chicago, IL, U.S.A.
Abstract:This article proves that the immersions of compact manifolds into a fixed compact Riemannian manifold, with bounds on the second fundamental forms and either the diameter or volume of the induced metrics, fall into only finitely many topological types.
Keywords:
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