RESEARCH ARTICLE

De Lellis-Topping type inequalities on smooth metric measure spaces

  • Meng MENG ,
  • Shijin ZHANG
Expand
  • School of Mathematics and Systems Science, Beihang University, Beijing 100191, China

Received date: 12 Apr 2017

Accepted date: 16 Oct 2017

Published date: 12 Jan 2018

Copyright

2017 Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature

Abstract

We obtain some De Lellis-Topping type inequalities on the smooth metric measure spaces, some of them are as generalization of De Lellis-Topping type inequality that was proved by X. Cheng [Ann. Global Anal. Geom., 2013, 43: 153–160].

Cite this article

Meng MENG , Shijin ZHANG . De Lellis-Topping type inequalities on smooth metric measure spaces[J]. Frontiers of Mathematics in China, 2018 , 13(1) : 147 -160 . DOI: 10.1007/s11464-017-0670-z

1
Cheng X. A generalization of almost-Schur lemma for closed Riemannian manifolds. Ann Global Anal Geom, 2013, 43: 153–160

DOI

2
Chow B, Lu P, Ni L. Hamilton’s Ricci Flow. Grad Stud Math, Vol 77. Beijing/Providence: Science Press/Amer Math Soc, 2006

3
De Lellis C, Topping P M. Almost-Schur lemma. Calc Var Partial Differential Equations, 2012, 43: 347–354

DOI

4
Ge Y X, Wang G F. An almost Schur theorem on 4-dimensional manifolds. Proc Amer Math Soc, 2012, 140: 1041–1044

DOI

5
Ge Y X, Wang G F. A new conformal invariant on 3-dimensional manifolds. Adv Math, 2013, 249: 131–160

DOI

6
Pohozaev S. On the eigenfunctions of the equation Δu+λf(u) = 0. Soviet Math Dokl, 1965, 6: 1408–1411

7
Schoen R. The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation. Comm Pure Appl Math, 1988, 41: 317–392

DOI

8
Wu J Y. De Lellis-Topping type inequalities for smooth metric measure spaces. Geom Dedicata, 2014, 169: 273–281

DOI

Outlines

/