Add to ORKGWe prove precompactness in an orbifold Cheeger-Gromov sense of complete gradient Ricci shrinkers with a lower bound on their entropy and a local integral Riemann bound. We do not need any pointwise curvature assumptions, volume or diameter bounds. In dimension four, under a technical assumption, we can replace the local integral Riemann bound by an upper bound for the Euler characteristic. The proof relies on a Gauss-Bonnet with cutoff argumen
Für eine kollabierende Folge Riemannscher Mannigfaltigkeiten, die alle dieselbe untere Ricci-Krümmun...
The goal of these lectures is to introduce some fundamental tools in the study of manifolds with a l...
In this work, we construct distance like functions with integral hessian bound on manifolds with sma...
AbstractIn this paper we prove a compactness result for compact Kähler Ricci gradient shrinking soli...
Perelman has discovered two integral quantities, the shrinker entropy W and the (backward) reduced v...
This thesis focuses on various results in Ricci flow related to conical structures. Some of our resu...
The idea of compactifying the space of Riemannian manifolds satisfying Ricci curvature lower bounds ...
We prove the compactness of self-shrinkers in $\mathbb R^3$ with bounded entropy and fixed genus. As...
This thesis has two primary parts. In the first part we study shrinking Ricci solitons. We classify ...
Abstract. We prove that if a family of metrics, gi, on a compact Riemannian manifold, Mn, have a uni...
Original manuscript July 15, 2009We prove a smooth compactness theorem for the space of embedded sel...
Für eine kollabierende Folge Riemannscher Mannigfaltigkeiten, die alle dieselbe untere Ricci-Krümmun...
The goal of these lectures is to introduce some fundamental tools in the study of manifolds with a l...
In this work, we construct distance like functions with integral hessian bound on manifolds with sma...
AbstractIn this paper we prove a compactness result for compact Kähler Ricci gradient shrinking soli...
Perelman has discovered two integral quantities, the shrinker entropy W and the (backward) reduced v...
This thesis focuses on various results in Ricci flow related to conical structures. Some of our resu...
The idea of compactifying the space of Riemannian manifolds satisfying Ricci curvature lower bounds ...
We prove the compactness of self-shrinkers in $\mathbb R^3$ with bounded entropy and fixed genus. As...
This thesis has two primary parts. In the first part we study shrinking Ricci solitons. We classify ...
Abstract. We prove that if a family of metrics, gi, on a compact Riemannian manifold, Mn, have a uni...
Original manuscript July 15, 2009We prove a smooth compactness theorem for the space of embedded sel...
Für eine kollabierende Folge Riemannscher Mannigfaltigkeiten, die alle dieselbe untere Ricci-Krümmun...
The goal of these lectures is to introduce some fundamental tools in the study of manifolds with a l...
In this work, we construct distance like functions with integral hessian bound on manifolds with sma...