Tools
Sorted by:
Try your query at:
 |
 |
 |
 |
 |
 |
Results 1 - 10
of
820
Ricci Flow with Surgery on Three-Manifolds
"... This is a technical paper, which is a continuation of [I]. Here we verify most of the assertions, made in [I, §13]; the exceptions are (1) the statement that a 3-manifold which collapses with local lower bound for sectional curvature is a graph manifold- this is deferred to a separate paper, as the ..."
Abstract
-
Cited by 448 (2 self)
- Add to MetaCart
, as the proof has nothing to do with the Ricci flow, and (2) the claim about the lower bound for the volumes of the maximal horns and the smoothness of the solution from some time on, which turned out to be unjustified, and, on the other hand, irrelevant for the other conclusions. The Ricci flow with surgery
The Ricci flow
, 806
"... Abstract. We consider the Ricci flow ∂ g = −2Ric on the 3-dimensional ∂t complete noncompact manifold (M, g(0)) with non-negative curvature operator, i.e., Rm ≥ 0, |Rm(p) | → 0, as d(o, p) → 0. We prove that the Ricci flow on such a manifold is nonsingular in any finite time. 1. introduction The a ..."
Abstract
- Add to MetaCart
Abstract. We consider the Ricci flow ∂ g = −2Ric on the 3-dimensional ∂t complete noncompact manifold (M, g(0)) with non-negative curvature operator, i.e., Rm ≥ 0, |Rm(p) | → 0, as d(o, p) → 0. We prove that the Ricci flow on such a manifold is nonsingular in any finite time. 1. introduction
Consider the Ricci flow
, 2002
"... A lower bound for the diameter of solutions to the Ricci flow ..."
Strong uniqueness of the Ricci flow
- arXiv:0706.3081. HUAI-DONG CAO
"... In this paper, we derive some local a priori estimates for Ricci flow. This gives rise to some strong uniqueness theorems. As a corollary, let g(t) be a smooth complete solution to the Ricci flow onR 3, with the canonical Euclidean metric E as initial data, then g(t) is trivial, i.e. g(t)≡E. 1 ..."
Abstract
-
Cited by 92 (0 self)
- Add to MetaCart
In this paper, we derive some local a priori estimates for Ricci flow. This gives rise to some strong uniqueness theorems. As a corollary, let g(t) be a smooth complete solution to the Ricci flow onR 3, with the canonical Euclidean metric E as initial data, then g(t) is trivial, i.e. g(t)≡E. 1
Recent developments on the Ricci flow
, 1998
"... This article reports recent developments of the research on Hamilton’s Ricci flow and its applications. ..."
Abstract
-
Cited by 39 (3 self)
- Add to MetaCart
This article reports recent developments of the research on Hamilton’s Ricci flow and its applications.
Stability of Kähler-Ricci flow
, 2009
"... We prove the convergence of Kähler-Ricci flow with some small initial curvature conditions. As applications, we discuss the convergence of Kähler-Ricci flow when the complex structure varies on a Kähler-Einstein manifold. ..."
Abstract
-
Cited by 4 (0 self)
- Add to MetaCart
We prove the convergence of Kähler-Ricci flow with some small initial curvature conditions. As applications, we discuss the convergence of Kähler-Ricci flow when the complex structure varies on a Kähler-Einstein manifold.
under the Ricci flow
, 2007
"... In this paper, we study the change of the ADM mass of an ALE space along the Ricci flow. Thus we first show that the ALE property is preserved under the Ricci flow. Then, we show that the mass is invariant under the flow in dimension three (similar results hold in higher dimension with more assumpti ..."
Abstract
-
Cited by 30 (9 self)
- Add to MetaCart
In this paper, we study the change of the ADM mass of an ALE space along the Ricci flow. Thus we first show that the ALE property is preserved under the Ricci flow. Then, we show that the mass is invariant under the flow in dimension three (similar results hold in higher dimension with more
Discrete Surface Ricci Flow
- SUBMITTED TO IEEE TVCG
"... This work introduces a unified framework for discrete surface Ricci flow algorithms, including spherical, Euclidean, and hyperbolic Ricci flows, which can design Riemannian metrics on surfaces with arbitrary topologies by user-defined Gaussian curvatures. Furthermore, the target metrics are conform ..."
Abstract
-
Cited by 40 (22 self)
- Add to MetaCart
This work introduces a unified framework for discrete surface Ricci flow algorithms, including spherical, Euclidean, and hyperbolic Ricci flows, which can design Riemannian metrics on surfaces with arbitrary topologies by user-defined Gaussian curvatures. Furthermore, the target metrics
Results 1 - 10
of
820
