4 papers
The Faber-Krahn inequality for -Hermite operators
Xiaomei Sun, Kui Wang, Anqiang Zhu
We prove a Faber-Krahn inequality for the first eigenvalue of the -Hermite operator (the weighted -Laplacian with Gaussian weight) on Lipschitz domains in under Robin…
An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures
Kui Wang, Xiaomei Sun, Anqiang Zhu
We prove a sharp isoperimetric inequality for the harmonic mean of the first nonzero Neumann eigenvalues of the Witten-Laplacian on origin-symmetric Lipschitz domains in space…
A note on the first variation of the total mass
Xiaomei Sun, Anqiang Zhu
In this paper, we establish a proof for the first variation formula of the total mass within the framework. Our main result removes an extra restrictive determinant condition…
The spectral rigidity of Ricci soliton and Einstein-type manifolds
Ping Li, Xiaomei Sun, Anqiang Zhu
We are concerned in this article with a classical topic in spectral geometry dating back to McKean-Singer, Patodi and Tanno: whether or not the constancy of sectional curvature (re…