A Global Curvature Pinching Result of the First Eigenvalue of the Laplacian on Riemannian Manifolds
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The paper starts with a discussion involving the Sobolev constant on geodesic balls and then follows with a derivation of a lower bound for the first eigenvalue of the Laplacian on manifolds with small negative curvature. The derivation involves Moser iteration.
1997 ◽
Vol 40
(4)
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pp. 384-394
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2017 ◽
Vol 473
(2204)
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pp. 20160877
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1968 ◽
Vol 19
(2)
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pp. 292-292
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1974 ◽
Vol 25
(3)
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pp. 422-424
1983 ◽
Vol 94
(2)
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pp. 328-337
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1982 ◽
Vol 17
(2)
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pp. 233-238
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