Heat kernel upper bound on Riemannian manifolds with locally uniform Ricci curvature integral bounds

DOI10.1007/s12220-016-9738-3zbMath1369.53028arXiv1601.07438OpenAlexW2467470459WikidataQ115376810 ScholiaQ115376810MaRDI QIDQ2012975

Christian Rose

Publication date: 3 August 2017

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.07438

zbMATH Keywords

heat kernelGaussian upper boundintegral norms of Ricci curvature

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Heat kernel (35K08)

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• Some isoperimetric inequalities and eigenvalue estimates
• Convergence of riemannian manifolds with integral bounds on curvature. I
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