Harnack inequalities on a manifold with positive or negative Ricci curvature | Zendy

Dominique Bakry | Zendy; Zhongmin Qian | Zendy

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Harnack inequalities on a manifold with positive or negative Ricci curvature

Author(s) -

Dominique Bakry,

Zhongmin Qian

Publication year - 1999

Publication title -

revista matemática iberoamericana

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.569

H-Index - 52

eISSN - 2235-0616

pISSN - 0213-2230

DOI - 10.4171/rmi/253

Subject(s) - ricci curvature , harnack's inequality , ricci flow , mathematics , harnack's principle , pure mathematics , curvature , manifold (fluid mechanics) , riemann curvature tensor , scalar curvature , curvature of riemannian manifolds , mathematical analysis , sectional curvature , geometry , engineering , mechanical engineering

Several new Harnack estimates for positive solutions of the heat equation on a complete Riemannian manifold with Ricci curvature bounded below by a positive (or a negative) constant are established. These estimates are sharp both for small time, for large time and for large distance, and lead to new estimates for the heat kernel of a manifold with Ricci curvature bounded below

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