A pinching theorem for cusps of negatively curved manifolds with finite volume
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- by Masahiko Kanai PDF
- Proc. Amer. Math. Soc. 107 (1989), 777-783 Request permission
Abstract:
We give a new proof of the following theorem of M. Gromov: For a noncompact complete riemannian manifold $M$ of negative curvature with finite volume, each cusp of $M$ is diffeomorphic to $N \times [0,\infty )$ with $N$ being a compact flat space form provided that the sectional curvature of $M$ satisfies the pinching condition $- 4 < - {\Lambda ^2} \leq K \leq - 1$.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 777-783
- MSC: Primary 53C20
- DOI: https://doi.org/10.1090/S0002-9939-1989-0937856-5
- MathSciNet review: 937856