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A note on Riesz potentials and the first eigenvalue

Author: Jie Cheng Chen
Journal: Proc. Amer. Math. Soc. 117 (1993), 683-685
MSC: Primary 58G11; Secondary 35P15, 46E35, 58G25
MathSciNet review: 1110540
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Abstract: In this paper, we consider the boundedness of Riesz potentials on positively curved manifolds. As an application, we get the greatest lower bound of the essential spectrum of a positively curved manifold.

References [Enhancements On Off] (What's this?)

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Keywords: Riesz potential, the first eigenvalue, positively curved manifold
Article copyright: © Copyright 1993 American Mathematical Society

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