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Immersions with bounded curvature |
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| Authors: | Kevin Corlette |
| Affiliation: | (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. |
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