๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Compact manifolds of constant scalar curvature

โœ Scribed by Sharief Deshmukh; M. A. Al-Gwaiz

Publisher
Springer
Year
1991
Tongue
English
Weight
171 KB
Volume
40
Category
Article
ISSN
0046-5755

No coin nor oath required. For personal study only.

โœฆ Synopsis

COMPACT MANIFOLDS OF CONSTANT SCALAR CURVATURE ABSTI~CT. We consider a compact non-negatively curved Riemannian manifold M of constant scalar curvature and obtain a sufficient condition for it to be isometric to a sphere.

๐Ÿ“œ SIMILAR VOLUMES

Complete and non-compact conformally fla
Complete and non-compact conformally flat manifolds with constant scalar curvature
โœ U-Hang Ki; Young Ho Kim ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Springer ๐ŸŒ English โš– 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

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

Constant scalar curvature and warped pro
Constant scalar curvature and warped product globally null manifolds
โœ K.L. Duggal ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 129 KB

This paper deals with the curvature properties of a class of globally null manifolds (M, g) which admit a global null vector field and a complete Riemannian hypersurface. Using the warped product technique we study the fundamental problem of finding a warped function such that the degenerate metric

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

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.