We prove that any metric of positive scalar curvature on a manifold X extends to the trace of any surgery in codim > 2 on X to a metric of positive scalar curvature which is product near the boundary. This provides a direct way to construct metrics of positive scalar curvature on compact manifolds w
β¦ LIBER β¦
On the volume functional of compact manifolds with boundary with constant scalar curvature
β Scribed by Pengzi Miao; Luen-Fai Tam
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 379 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0944-2669
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Riemannian metrics of positive scalar cu
β
Pawel Gajer
π
Article
π
1987
π
Springer
π
English
β 463 KB
Complete and non-compact conformally fla
β
U-Hang Ki; Young Ho Kim
π
Article
π
1991
π
Springer
π
English
β 262 KB
Non-compact conformally flat manifolds with constant scalar curvature and noncompact Kaehler manifolds with vanishing Bochner curvature are studied and classified. ## 1. Introduction The following theorems are well known: THEOREM A ([6]). Let M be a compact conformally fiat Riemannian manifold wit
Curvature bounds for the spectrum of a c
β
Sharief Deshmukh; Afifah Al-Eid
π
Article
π
2005
π
Springer-Verlag
π
English
β 687 KB
A Construction of Constant Scalar Curvat
β
Almir Silva Santos
π
Article
π
2010
π
Springer
π
English
β 551 KB
On the structure of manifolds with posit
β
R. Schoen; S. T. Yau
π
Article
π
1979
π
Springer
π
English
β 763 KB
Solutions of the EinsteinβDirac equation
β
Thomas Friedrich
π
Article
π
2000
π
Elsevier Science
π
English
β 125 KB
This paper contains a classification of all three-dimensional manifolds with constant eigenvalues of the Ricci tensor that carry a non-trivial solution of the Einstein-Dirac equation.