Annales Scientifiques de l’École Normale Supérieure
Volume 39, Issue 6, November–December 2006, Pages 921-982
Weighted Poincaré inequality and rigidity of complete manifolds
References (22)
Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations: Bounds on Eigenfunctions of N-Body Schrödinger Operators
(1982)- et al.
Boundaries of zero scalar curvature in the ADS/CFT correspondence
Adv. Theor. Math. Phys.
(1999) - et al.
The structure of stable minimal hypersurfaces in
Math. Res. Lett.
(1997) - et al.
Differential equations on Riemannian manifolds and their geometric applications
Comm. Pure Appl. Math.
(1975) - et al.
The uncertainty principle and sharp Gårding inequalities
Comm. Pure Appl. Math.
(1981) - et al.
Lower bounds for Schrödinger equations
Lecture Notes on Geometric Analysis
(1993)Curvature and function theory on Riemannian manifolds
- et al.
Complete surfaces with finite total curvature
J. Diff. Geom.
(1991) - et al.
Harmonic functions and the structure of complete manifolds
J. Diff. Geom.
(1992)
Complete manifolds with positive spectrum
J. Diff. Geom.
(2001)
Cited by (121)
Poincaré type inequality for hypersurfaces and rigidity results
2023, Journal of Differential EquationsVanishing results from Lichnerowicz Laplacian on complete Kähler manifolds and applications
2022, Journal of Mathematical Analysis and ApplicationsSOME-HARDY AND-RELLICH TYPE INEQUALITIES with REMAINDER TERMS
2022, Journal of the Australian Mathematical Society
- 1
The first author was partially supported by NSF Grant DMS-0503735.
- 2
The second author was partially supported by NSF Grant DMS-0404817.
Copyright © 2007 Elsevier Masson SAS. All rights reserved.