✦ LIBER ✦

Riemannian metrics of positive scalar curvature on compact manifolds with boundary

✍ Scribed by Pawel Gajer

Publisher: Springer
Year: 1987
Tongue: English
Weight: 463 KB
Volume: 5
Category: Article
ISSN: 0232-704X
DOI: 10.1007/bf00128019

No coin nor oath required. For personal study only.

✦ Synopsis

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 with boundary. We also show that the set of concordance classes of all metrics with positive scalar curvature on S" is a group.

📜 SIMILAR VOLUMES

Generalized scalar curvature type equati

Generalized scalar curvature type equations on compact Riemannian manifolds

✍ Olivier Druet 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 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 C∞ comp

Prescribed scalar curvature on a C∞ compact Riemannian manifold of dimension two

✍ Sophie Bismuth 📂 Article 📅 2000 🏛 Elsevier Science 🌐 French ⚖ 68 KB

Let (V 2 , g) be a C ∞ 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.

Solutions of the Einstein–Dirac equation

Solutions of the Einstein–Dirac equation on Riemannian 3-manifolds with constant scalar curvature

✍ Thomas Friedrich 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 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.

A global classification result for Rande

A global classification result for Randers metrics of scalar curvature on closed manifolds

✍ Xiaohuan Mo 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 267 KB

Lower bounds for the first eigenvalue of

Lower bounds for the first eigenvalue of the -Laplacian on compact manifolds with positive Ricci curvature

✍ HuiChun Zhang 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 203 KB

We give some lower bounds for the first eigenvalue of the p-Laplace operator on compact Riemannian manifolds with positive (or non-negative) Ricci curvature in terms of diameter of the manifolds. For compact manifolds with boundary, we consider the Dirichlet eigenvalue with some proper geometric hyp

Corrections to “compact group actions an

Corrections to “compact group actions and the topology of manifolds with non-positive curvature”

✍ Richard Schoen; Shing Tung Yau 📂 Article 📅 1982 🏛 Elsevier Science 🌐 English ⚖ 80 KB