On the gradient estimate of Cheng and Yau

DOI10.1090/S0002-9939-2011-11304-2zbMath1256.53033arXiv1106.3560WikidataQ124962437 ScholiaQ124962437MaRDI QIDQ5389404

Ovidiu Munteanu

Publication date: 26 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.3560

zbMATH Keywords

Cheng-Yau gradient estimate

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (3)

Liouville-type theorems on the complete gradient shrinking Ricci solitons ⋮ The stochastic Schwarz lemma on Kähler manifolds by couplings and its applications ⋮ On the Cheng-Yau gradient estimate for Carnot groups and sub-Riemannian manifolds

Cites Work

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• An extension of E. Hopf's maximum principle with an application to Riemannian geometry
• Harmonic functions, entropy, and a characterization of the hyperbolic space
• Complete manifolds with positive spectrum. II.
• Harmonic functions on complete riemannian manifolds
• Differential equations on riemannian manifolds and their geometric applications

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