Ends of Riemannian manifolds with nonnegative Ricci curvature outside a compact set
نویسندگان
چکیده
منابع مشابه
Rigidity of Compact Manifolds with Boundary and Nonnegative Ricci Curvature
Let Ω be an (n + 1)-dimensional compact Riemannian manifold with nonnegative Ricci curvature and nonempty boundary M = ∂Ω. Assume that the principal curvatures of M are bounded from below by a positive constant c. In this paper, we prove that the first nonzero eigenvalue λ1 of the Laplacian of M acting on functions on M satisfies λ1 ≥ nc2 with equality holding if and only if Ω is isometric to a...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1991
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-1991-16038-6