Heat kernel estimate for the Laplace-Beltrami operator under Bakry-Émery Ricci curvature condition and applications
DOI10.1016/j.geomphys.2023.104997arXiv2306.13261OpenAlexW4386813578MaRDI QIDQ6141321
Ling Wu, Meng Zhu, Xingyu Song
Publication date: 4 January 2024
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.13261
Liouville theoremLaplace-Beltrami operatorheat kerneleigenvalue estimateBakry-Émery Ricci curvaturevolume comparison
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Spectral theory; eigenvalue problems on manifolds (58C40) Heat kernel (35K08)
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