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October 2018 Estimates for the first eigenvalue of the drifting Laplacian on embedded hypersurfaces
Jing MAO, Ni XIANG
Hokkaido Math. J. 47(3): 625-636 (October 2018). DOI: 10.14492/hokmj/1537948834

Abstract

For an $(n-1)$-dimensional compact orientable smooth metric measure space $\big(M,g,e^{-f}dv_{g}\big)$ embedded in an $n$-dimensional compact orientable Riemannian manifold $N$, we successfully give a lower bound for the first nonzero eigenvalue of the drifting Laplacian on $M$, provided the Ricci curvature of $N$ is bounded from below by a positive constant and the weighted function $f$ on $M$ satisfies two constraints.

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Jing MAO. Ni XIANG. "Estimates for the first eigenvalue of the drifting Laplacian on embedded hypersurfaces." Hokkaido Math. J. 47 (3) 625 - 636, October 2018. https://doi.org/10.14492/hokmj/1537948834

Information

Published: October 2018
First available in Project Euclid: 26 September 2018

zbMATH: 06959107
MathSciNet: MR3858382
Digital Object Identifier: 10.14492/hokmj/1537948834

Subjects:
Primary: 35P15, 53C42

Rights: Copyright © 2018 Hokkaido University, Department of Mathematics

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Vol.47 • No. 3 • October 2018
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