We show that the mass of an asymptotically flat n-manifold is a geometric invariant. The proof is based on harmonic coordinates and, to develop a suitable existence theory, results about elliptic operators with rough coefficients on weighted Sobolev spaces are summarised. Some relations between the mass. xalar curvature and harmonic maps are described and the positive mass theorem for,c-dimensional spin manifolds is proved
The Witten spinorial argument has been adapted in several works over the years to prove positivity o...
Abstract. Let (M, g) be a compact connected spin manifold of dimension n ≥ 3 whose Yamabe invariant ...
International audienceWe prove in a simple and coordinate-free way the equivalence bteween the class...
ABSTRACT. We prove a positive mass theorem for n-dimensional asymptotically flat manifolds with a no...
The goal of this work is to study notions of mass for asymptotically flat and asymptotically locally...
The goal of this work is to study notions of mass for asymptotically flat and asymptotically locally...
The goal of this work is to study notions of mass for asymptotically flat and asymptotically locally...
We prove a simple, explicit formula for the mass of any asymp-totically locally Euclidean (ALE) Käh...
We prove a positive mass theorem for some noncompact spin manifolds that are asymptotic to products ...
Abstract. Any compact manifold with positive scalar curvature has an associated asymptotically flat ...
Abstract. Consider an asymptotically flat Riemannian manifold (M, g) of dimension n ≥ 3 with nonempt...
For manifolds with a distinguished asymptotically flat end, we prove a density theorem which produce...
In this article, we study the limiting behavior of the Brown-York mass and Hawking mass along nearly...
In this paper, we show positive mass theorems and Penrose-type inequalities for the Gauss–Bonnet–Che...
The Witten spinorial argument has been adapted in several works over the years to prove positivity o...
The Witten spinorial argument has been adapted in several works over the years to prove positivity o...
Abstract. Let (M, g) be a compact connected spin manifold of dimension n ≥ 3 whose Yamabe invariant ...
International audienceWe prove in a simple and coordinate-free way the equivalence bteween the class...
ABSTRACT. We prove a positive mass theorem for n-dimensional asymptotically flat manifolds with a no...
The goal of this work is to study notions of mass for asymptotically flat and asymptotically locally...
The goal of this work is to study notions of mass for asymptotically flat and asymptotically locally...
The goal of this work is to study notions of mass for asymptotically flat and asymptotically locally...
We prove a simple, explicit formula for the mass of any asymp-totically locally Euclidean (ALE) Käh...
We prove a positive mass theorem for some noncompact spin manifolds that are asymptotic to products ...
Abstract. Any compact manifold with positive scalar curvature has an associated asymptotically flat ...
Abstract. Consider an asymptotically flat Riemannian manifold (M, g) of dimension n ≥ 3 with nonempt...
For manifolds with a distinguished asymptotically flat end, we prove a density theorem which produce...
In this article, we study the limiting behavior of the Brown-York mass and Hawking mass along nearly...
In this paper, we show positive mass theorems and Penrose-type inequalities for the Gauss–Bonnet–Che...
The Witten spinorial argument has been adapted in several works over the years to prove positivity o...
The Witten spinorial argument has been adapted in several works over the years to prove positivity o...
Abstract. Let (M, g) be a compact connected spin manifold of dimension n ≥ 3 whose Yamabe invariant ...
International audienceWe prove in a simple and coordinate-free way the equivalence bteween the class...
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