These notes stem from some talks we gave at the Institut Fourier of Grenoble in 1998, where we compared Besson-Courtois-Gallot’s and Lebrun’s approaches to uniqueness of Einstein metrics on real and complex hyperbolic 4-manifolds. The Ricci tensor of a Riemannian manifold (X, g) is the symmetric bilinear form define
Texto completo: acesso restrito. p. 244-255.In this paper we obtain obstructions to the existence o...
A closed Riemannian manifold (M n,g) is called Einstein if the Ricci tensor of g is a multiple of it...
In this paper, first we consider the existence and non-existence of Einstein metrics on the topologi...
Abstract. Using the new diffeomorphism invariants of Seiberg and Wit-ten, a uniqueness theorem is pr...
Using the new dieomorphism invariants of Seiberg and Witten, a uniqueness theorem is proved for Eins...
AbstractWe consider tensors T=fg on the pseudo-euclidean space Rn and on the hyperbolic space Hn, wh...
A Riemannian metric is said to be Einstein if the Ricci curvature is a constant multiple of the metr...
summary:In Riemannian geometry the prescribed Ricci curvature problem is as follows: given a smooth ...
Special structures often arise naturally in Riemannian geometry. They are usually given by the exist...
This thesis consists of three parts. Each part solves a geometric problem in geometric analysis usin...
We classify all self-dual Einstein four-manifolds invariant under a principal action of the three-di...
In this note the author proves the following theorem: Let $M$ be an $n$-dimensional manifold for whi...
The theory of General Relativity was formulated by Albert Einstein and introduced a set of equations...
In this work we study the existence of homogeneous Einstein metrics on the total space of homogeneou...
Any sphere S n admits a metric of constant sectional curvature. These canonical metrics are homogene...
Texto completo: acesso restrito. p. 244-255.In this paper we obtain obstructions to the existence o...
A closed Riemannian manifold (M n,g) is called Einstein if the Ricci tensor of g is a multiple of it...
In this paper, first we consider the existence and non-existence of Einstein metrics on the topologi...
Abstract. Using the new diffeomorphism invariants of Seiberg and Wit-ten, a uniqueness theorem is pr...
Using the new dieomorphism invariants of Seiberg and Witten, a uniqueness theorem is proved for Eins...
AbstractWe consider tensors T=fg on the pseudo-euclidean space Rn and on the hyperbolic space Hn, wh...
A Riemannian metric is said to be Einstein if the Ricci curvature is a constant multiple of the metr...
summary:In Riemannian geometry the prescribed Ricci curvature problem is as follows: given a smooth ...
Special structures often arise naturally in Riemannian geometry. They are usually given by the exist...
This thesis consists of three parts. Each part solves a geometric problem in geometric analysis usin...
We classify all self-dual Einstein four-manifolds invariant under a principal action of the three-di...
In this note the author proves the following theorem: Let $M$ be an $n$-dimensional manifold for whi...
The theory of General Relativity was formulated by Albert Einstein and introduced a set of equations...
In this work we study the existence of homogeneous Einstein metrics on the total space of homogeneou...
Any sphere S n admits a metric of constant sectional curvature. These canonical metrics are homogene...
Texto completo: acesso restrito. p. 244-255.In this paper we obtain obstructions to the existence o...
A closed Riemannian manifold (M n,g) is called Einstein if the Ricci tensor of g is a multiple of it...
In this paper, first we consider the existence and non-existence of Einstein metrics on the topologi...