De Lellis-Topping type inequalities for f-Laplacians

• Autorzy: Guangyue Huang , Fanqi Zeng
• Języki publikacji: EN

Abstrakty

EN

We establish an integral geometric inequality on a closed Riemannian manifold with ∞-Bakry-Émery Ricci curvature bounded from below. We also obtain similar inequalities for Riemannian manifolds with totally geodesic boundary. In particular, our results generalize those of Wu (2014) for the ∞-Bakry-Émery Ricci curvature.

Kategorie tematyczne

• 53C21: Methods of Riemannian geometry, including PDE methods; curvature restrictions
• 53C24: Rigidity results

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2016
• Tom: 232
• Numer: 3
• Strony: 189-199

Daty

wydano

2016

Twórcy

autor

Guangyue Huang

• College of Mathematics and Information Science, Henan Normal University, 453007 Xinxiang, P.R. China
• Henan Engineering Laboratory for Big Data Statistical, Analysis and Optimal Control

autor

Fanqi Zeng

• Department of Mathematics, Tongji University, 200092 Shanghai, P.R. China

Identyfikatory

DOI

10.4064/sm8236-4-2016