Add to ORKGAbstract. We study rigidity of minimal two-spheres Σ that lo-cally maximize the Hawking mass on a Riemannian three-manifold with a positive lower bound on its scalar curvature. After assuming strict stability of Σ, we prove that a neighborhood of it in M is iso-metric to one of the deSitter-Schwarzschild metrics on (−, )×Σ. We also show that if Σ is a critical point for the Hawking mass on the deSitter-Schwarzschild manifold R×S2 and can be written as a graph over a slice Σr = {r}×S2, then Σ itself must be a slice, and moreover that slices are indeed local maxima amongst competitors that are graphs with small C2-norm. 1
Let $(M,g)$ be a 3-dimensional Riemannian manifold. The goal of the paper it to show that if $P_{0}\...
We establish some a priori geometric relations on stable minimal sur-faces lying inside three-manifo...
In this paper, we obtain some rigidity theorems on compact manifolds with nonempty boundary. The res...
We prove rigidity results involving the Hawking mass for surfaces immersed in a 3-dimensional, compl...
We prove rigidity results involving the Hawking mass for surfaces immersed in a 3‐dimensional, compl...
We prove rigidity results involving the Hawking mass for surfaces immersed in a $3$-dimensional, com...
This thesis proves rigidity theorems for three-dimensional Riemannian manifolds with scalar curvatur...
In this thesis, we prove estimates for the volume and boundary area of stable hypersurfaces ∑n-1 wit...
The study of stable minimal surfaces in Riemannian 3-manifolds (M, g) with non-negative scalar curva...
A number of fundamental results have been obtained in the mathematical theory of general relativity ...
We establish three new upper bounds on the Bartnik quasi-local mass of triples (S²,g,H) where S² is ...
We establish three new upper bounds on the Bartnik quasi-local mass of triples (S²,g,H) where S² is ...
Consider the following question: Does there exist a three-manifold M for which, given any riemannian...
In general relativity, the nature of mass is non-local. However, an appropriate def-inition of mass ...
Let $(M,g)$ be a 3-dimensional Riemannian manifold. The goal of the paper it to show that if $P_{0}\...
Let $(M,g)$ be a 3-dimensional Riemannian manifold. The goal of the paper it to show that if $P_{0}\...
We establish some a priori geometric relations on stable minimal sur-faces lying inside three-manifo...
In this paper, we obtain some rigidity theorems on compact manifolds with nonempty boundary. The res...
We prove rigidity results involving the Hawking mass for surfaces immersed in a 3-dimensional, compl...
We prove rigidity results involving the Hawking mass for surfaces immersed in a 3‐dimensional, compl...
We prove rigidity results involving the Hawking mass for surfaces immersed in a $3$-dimensional, com...
This thesis proves rigidity theorems for three-dimensional Riemannian manifolds with scalar curvatur...
In this thesis, we prove estimates for the volume and boundary area of stable hypersurfaces ∑n-1 wit...
The study of stable minimal surfaces in Riemannian 3-manifolds (M, g) with non-negative scalar curva...
A number of fundamental results have been obtained in the mathematical theory of general relativity ...
We establish three new upper bounds on the Bartnik quasi-local mass of triples (S²,g,H) where S² is ...
We establish three new upper bounds on the Bartnik quasi-local mass of triples (S²,g,H) where S² is ...
Consider the following question: Does there exist a three-manifold M for which, given any riemannian...
In general relativity, the nature of mass is non-local. However, an appropriate def-inition of mass ...
Let $(M,g)$ be a 3-dimensional Riemannian manifold. The goal of the paper it to show that if $P_{0}\...
Let $(M,g)$ be a 3-dimensional Riemannian manifold. The goal of the paper it to show that if $P_{0}\...
We establish some a priori geometric relations on stable minimal sur-faces lying inside three-manifo...
In this paper, we obtain some rigidity theorems on compact manifolds with nonempty boundary. The res...