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math.DG2021
Schwarz symmetrizations in parabolic equations on complete manifolds
Haiqing Cheng, Tengfei Ma, Kui Wang
In this article, we prove a sharp estimate for the solutions to parabolic equations on manifolds. Precisely, using symmetrization techniques and isoperimetric inequalities on Riema…
math.DG2021
Eigenvalue Estimates on quaternion-Kähler Manifolds
Xiaolong Li, Kui Wang
We prove lower bound for the first closed or Neumann nonzero eigenvalue of the Laplacian on a compact quaternion-Kähler manifold in terms of dimension, diameter, and scalar curvatu…