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.
Citation
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
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