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].
| [1] |
Cheng X. A generalization of almost-Schur lemma for closed Riemannian manifolds. Ann Global Anal Geom, 2013, 43: 153–160
|
| [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
|
| [4] |
Ge Y X, Wang G F. An almost Schur theorem on 4-dimensional manifolds. Proc Amer Math Soc, 2012, 140: 1041–1044
|
| [5] |
Ge Y X, Wang G F. A new conformal invariant on 3-dimensional manifolds. Adv Math, 2013, 249: 131–160
|
| [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
|
| [8] |
Wu J Y. De Lellis-Topping type inequalities for smooth metric measure spaces. Geom Dedicata, 2014, 169: 273–281
|
RIGHTS & PERMISSIONS
Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature
PDF
(160KB)
