A Yamabe type problem on compact spin manifolds

DOI10.1016/j.crma.2004.03.018zbMath1053.58011OpenAlexW1998855638MaRDI QIDQ1876876

Bertrand Morel, Emmanuel Humbert, Bernd Ammann

Publication date: 20 August 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.03.018

zbMATH Keywords

eigenvalueDirac operatorconformal invariantconformal class of metricsmass endomorphismcompact spin manifold

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spin and Spin({}^c) geometry (53C27)

Related Items (3)

On a conformal invariant of the Dirac operator on noncompact manifolds ⋮ Green functions for the Dirac operator under local boundary conditions and applications ⋮ On a spin conformal invariant on manifolds with boundary

Cites Work

• Lower eigenvalue estimates for Dirac operators
• Mass endomorphism and spinorial Yamabe type problems on conformally flat manifolds
• The smallest Dirac eigenvalue in a spin-conformal class and cmc immersions
• Conformal deformation of a Riemannian metric to constant scalar curvature
• A conformal lower bound for the smallest eigenvalue of the Dirac operator and Killing spinors
• Eigenvalue bounds for the Dirac operator
• Spineurs, opérateurs de Dirac et variations de métriques. (Spinors, Dirac operators and variations of the metrics)
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• A spin-conformal lower bound of the first positive Dirac eigenvalue
• Positive mass theorem for the Yamabe problem on spin manifolds
• The Yamabe problem
• Critical metrics for the determinant of the Laplacian in odd dimensions
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