De Lellis-Topping type inequalities for f-Laplacians

Guangyue Huang; Fanqi Zeng

Studia Mathematica (2016)

  • Volume: 232, Issue: 3, page 189-199
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Guangyue Huang, and Fanqi Zeng. "De Lellis-Topping type inequalities for f-Laplacians." Studia Mathematica 232.3 (2016): 189-199. <http://eudml.org/doc/285511>.

@article{GuangyueHuang2016,
abstract = {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.},
author = {Guangyue Huang, Fanqi Zeng},
journal = {Studia Mathematica},
keywords = {De Lellis-Topping inequality; Bakry-Émery Ricci curvature; totally geodesic boundary},
language = {eng},
number = {3},
pages = {189-199},
title = {De Lellis-Topping type inequalities for f-Laplacians},
url = {http://eudml.org/doc/285511},
volume = {232},
year = {2016},
}

TY - JOUR
AU - Guangyue Huang
AU - Fanqi Zeng
TI - De Lellis-Topping type inequalities for f-Laplacians
JO - Studia Mathematica
PY - 2016
VL - 232
IS - 3
SP - 189
EP - 199
AB - 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.
LA - eng
KW - De Lellis-Topping inequality; Bakry-Émery Ricci curvature; totally geodesic boundary
UR - http://eudml.org/doc/285511
ER -

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