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Un théorème de la masse positive pour le problème de Yamabe en dimension paire
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Pierre Jammes
Veröffentlicht/Copyright:
7. Januar 2011
Abstract
Let (M, g) be a compact conformally flat manifold of dimension n ≧ 4 with positive scalar curvature. According to a positive mass theorem by Schoen and Yau, the constant term in the development of the Green function of the conformal Laplacian is positive if (M, g) is not conformally equivalent to the sphere. On spin manifolds, there is an elementary proof of this fact by Ammann and Humbert, based on a proof of Witten. Using differential forms instead of spinors, we give an elementary proof on even dimensional manifolds, without any other topological assumption.
Received: 2008-10-26
Revised: 2009-01-28
Published Online: 2011-01-07
Published in Print: 2011-January
© Walter de Gruyter Berlin · New York 2011
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Artikel in diesem Heft
- Ricci soliton solvmanifolds
- Rational normal scrolls and the defining equations of Rees algebras
- Classifications of linear operators preserving elliptic, positive and non-negative polynomials
- Graded polynomial identities and exponential growth
- Un théorème de la masse positive pour le problème de Yamabe en dimension paire
- Degenerate problems with irregular obstacles
- Twisted cyclic theory, equivariant KK-theory and KMS states
- A trace formula for varieties over a discretely valued field
Artikel in diesem Heft
- Ricci soliton solvmanifolds
- Rational normal scrolls and the defining equations of Rees algebras
- Classifications of linear operators preserving elliptic, positive and non-negative polynomials
- Graded polynomial identities and exponential growth
- Un théorème de la masse positive pour le problème de Yamabe en dimension paire
- Degenerate problems with irregular obstacles
- Twisted cyclic theory, equivariant KK-theory and KMS states
- A trace formula for varieties over a discretely valued field
