๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Scalar curvature and volume of a Riemannian manifold

โœ Scribed by Marcelo Llarull

Publisher
Springer
Year
1995
Tongue
English
Weight
196 KB
Volume
56
Category
Article
ISSN
0046-5755

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Generalized scalar curvature type equati
Generalized scalar curvature type equations on compact Riemannian manifolds
โœ Olivier Druet ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 306 KB

Let (M, g) be a compact Riemannian manifold of dimension n ~2. First, we study the existence of positive solutions for generalized scalar curvature type equations; these equations are nonlinear, of critical Sobolev growth, and involve the p-Laplacian. Then, we study similar type of equations, but in

Prescribed scalar curvature on a Cโˆž comp
Prescribed scalar curvature on a Cโˆž compact Riemannian manifold of dimension two
โœ Sophie Bismuth ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ French โš– 68 KB

Let (V 2 , g) be a C โˆž compact Riemannian manifold of negative constant scalar curvature of dimension n = 2, and let f be a smooth function defined on V 2 . We intend to find conditions on f in order that f be the scalar curvature of a metric conformal to g.

Riemannian metrics of positive scalar cu
Riemannian metrics of positive scalar curvature on compact manifolds with boundary
โœ Pawel Gajer ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Springer ๐ŸŒ English โš– 463 KB

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