Critical metrics of the $L^{2}$-norm of the scalar curvature

DOI10.1090/S0002-9939-2014-12238-6zbMath1300.53044arXiv1204.2744MaRDI QIDQ3190401

Giovanni Catino

Publication date: 17 September 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.2744

zbMATH Keywords

quadratic functionalscritical metrics

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Rigidity results (53C24) Critical metrics (58E11)

Related Items

Rigidity of Einstein metrics as critical points of quadratic curvature functionals on closed manifolds ⋮ Some rigidity results on critical metrics for quadratic functionals ⋮ Rigidity of critical metrics for quadratic curvature functionals ⋮ Rigidity of Einstein metrics as critical points of some quadratic curvature functionals on complete manifolds

Cites Work

• Comparison geometry for the Bakry-Emery Ricci tensor
• Extrema of curvature functional on the space of metrics on 3-manifolds
• Einstein manifolds
• Harmonic functions on complete riemannian manifolds
• Extrema of curvature functionals on the space of metrics on 3-manifolds. II