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- W2072571222 abstract "Let $M$ be an $n$-dimensional, complete, simply connected Riemannian manifold. In this paper we show that if the sectional curvature is bounded above by $- k leq 0$ and the Ricci curvature is bounded above by $- alpha leq 0$, then the spectrum of the Laplacian on $M$ is bounded below by $[alpha + (n - 1)(n - 2)k]/4$. This improves a previous result due to H. P. McKean." @default.
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- W2072571222 date "1991-01-01" @default.
- W2072571222 modified "2023-10-14" @default.
- W2072571222 title "A lower bound for the spectrum of the Laplacian in terms of sectional and Ricci curvature" @default.
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- W2072571222 doi "https://doi.org/10.1090/s0002-9939-1991-1043421-3" @default.
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