AbstractWe prove a Hitchin–Thorpe inequality for noncompact Einstein 4-manifolds with specified asymptotic geometry at infinity. The asymptotic geometry at infinity is either a cusp bundle over a compact space (the fibered cusps) or a fiber bundle over a cone with a compact fiber (the fibered boundary). Many noncompact Einstein manifolds come with such a geometry at infinity
This PhD thesis deals with the asymptotic geometry of complete non compact Riemannian manifolds with...
Bianchi VIII vacuum solutions to Einstein’s equations are causally geodesically complete to the futu...
In this dissertation, we prove a number of results regarding the conformal method of finding solutio...
AbstractWe prove a Hitchin–Thorpe inequality for noncompact Einstein 4-manifolds with specified asym...
Texto completo: acesso restrito. p. 244-255.In this paper we obtain obstructions to the existence o...
Abstract. We investigate the geometry at infinity of the so-called “gravitational instan-tons”, i.e....
We obtain the Strichartz inequality ∫01 ∫M|u(t, z)|4 dt(z)dt ≤ C ||u (0) || H1/4(M)4 for any smooth ...
This thesis consists of ve papers where certain problems arising in mathematical relativity are stud...
Abstract. It is shown that there are infinitely many compact simply con-nected smooth 4-manifolds wh...
AbstractStudying noncompact manifolds with a flatness property, there is the notion of an asymptotic...
We develop a notion of Einstein manifold with skew torsion on compact, orientable, Riemannian manifo...
We study various asymptotic invariants of manifolds of nonpositive curvature. First, we study the fi...
We find a topological obstruction to the existence of Einstein metrics on compact 4-manifolds which ...
AbstractThis paper studies several aspects of asymptotically hyperbolic (AH) Einstein metrics, mostl...
It is of fundamental interest to study the geometric and analytic properties of compact Einstein man...
This PhD thesis deals with the asymptotic geometry of complete non compact Riemannian manifolds with...
Bianchi VIII vacuum solutions to Einstein’s equations are causally geodesically complete to the futu...
In this dissertation, we prove a number of results regarding the conformal method of finding solutio...
AbstractWe prove a Hitchin–Thorpe inequality for noncompact Einstein 4-manifolds with specified asym...
Texto completo: acesso restrito. p. 244-255.In this paper we obtain obstructions to the existence o...
Abstract. We investigate the geometry at infinity of the so-called “gravitational instan-tons”, i.e....
We obtain the Strichartz inequality ∫01 ∫M|u(t, z)|4 dt(z)dt ≤ C ||u (0) || H1/4(M)4 for any smooth ...
This thesis consists of ve papers where certain problems arising in mathematical relativity are stud...
Abstract. It is shown that there are infinitely many compact simply con-nected smooth 4-manifolds wh...
AbstractStudying noncompact manifolds with a flatness property, there is the notion of an asymptotic...
We develop a notion of Einstein manifold with skew torsion on compact, orientable, Riemannian manifo...
We study various asymptotic invariants of manifolds of nonpositive curvature. First, we study the fi...
We find a topological obstruction to the existence of Einstein metrics on compact 4-manifolds which ...
AbstractThis paper studies several aspects of asymptotically hyperbolic (AH) Einstein metrics, mostl...
It is of fundamental interest to study the geometric and analytic properties of compact Einstein man...
This PhD thesis deals with the asymptotic geometry of complete non compact Riemannian manifolds with...
Bianchi VIII vacuum solutions to Einstein’s equations are causally geodesically complete to the futu...
In this dissertation, we prove a number of results regarding the conformal method of finding solutio...
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