搜索结果: 1-15 共查到“Ricci”相关记录81条 . 查询时间(0.059 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Liouville Properties on gradient shrinking Ricci solitons with constant scalar curvature
常标量 曲率梯度收缩 Ricci孤子 Liouville性质
2023/11/13
In this talk we show that bounded harmonic functions are constant on gradient shrinking Ricci solitons with CSC by frequency function method. As an application, we show that the space of harmonic func...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Steady gradient Ricci solitons with positive curvature
正曲率 稳态梯度 利玛窦孤子
2023/4/17
We will construct some new examples of steady gradient Ricci solitons with positive curvature operator. Moreover, for any 3D steady gradient Ricci soliton with positive curvature, if it is asymptotic ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On Kahler Ricci shrinker surfaces
Kahler Ricci 收缩机 表面
2023/4/23
We prove that any K?hler Ricci shrinker surface has bounded sectional curvature. Combining this estimate with earlier work by many authors, we provide a complete classification of all K?hler Ricci shr...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Geometry of the Ricci flow singularity models
利玛窦流 奇点模型 几何形状
2023/4/25
The Ricci flow is a powerful tool in geometry to construct the canonical metric on a given manifold. It can be viewed as a nonlinear heat flow of the Riemannian metric and may develop finite time sing...
法国SourceLAB公司首席技术官Aurélien Ricci博士来上海理工大学作报告（图）
法国SourceLAB公司 首席技术官 Aurélien Ricci博士 飞秒激光 靶体技术
2017/5/4
2017年月20日下午，法国SourceLAB公司首席技术官Aurélien Ricci博士应邀到上海理工大学光电学院做了题为“创新性飞秒激光和靶体技术：面向未来的激光与等离子体相互作用”的学术报告。光电学院教师、研究生和本科生聆听了此次讲座，讲座由光电信息与计算机工程学院刘一教授主持。Aurélien Ricci博士在这次讲座中首先介绍了SourceLAB公司的创业历程、发展动态和法国科学院应用...
The Forgotten Tradition.How the Logical Empiricists missed the Philosophical Significance of the work of Riemann,Christoffel and Ricci
Logical Empiricism Absolute Differential Calculus General Relativity Hans Reichenbach
2016/5/30
The paper attempts to show how the Logical Empiricists’ interpretation of the relation between geometry and reality emerges from a “collision” of mathematical traditions. Considering Riemann’s work as...
本文首先给出了具有渐近非负Ricci曲率流形的体积比较定理. 然后给出了流形在一定的曲率衰减的条件下为有限拓扑型的引理，最后利用Abresch-Gromoll估计, 给出了具有渐近非负Ricci曲率和无穷远处二次曲率衰减的流形的有限拓扑型条件.
THE BACKWARD BEHAVIOR OF THE RICCI AND CROSS CURVATURE FLOWS ON SL(2,R)
THE RICCI CROSS CURVATURE FLOWS
2015/8/25
This paper is concerned with properties of maximal solutions of the
Ricci and cross curvature flows on locally homogeneous three-manifolds of type
SL2(R). We prove that, generically, a maximal solut...
CURVATURE PINCHING ESTIMATE AND SINGULARITIES OF THE RICCI FLOW
SINGULARITIES CURVATURE PINCHING ESTIMAT
2015/8/17
In this paper, we first derive a pinching estimate on the traceless Ricci
curvature in term of scalar curvature and Weyl tensor under the Ricci flow. Then
we apply this estimate to study...
THE CONJUGATE HEAT EQUATION AND ANCIENT SOLUTIONS OF THE RICCI FLOW
ANCIENT SOLUTIONS CONJUGATE HEAT EQUATION
2015/8/17
We prove Gaussian type bounds for the fundamental solution of the conjugate heat equation evolving under the Ricci flow. As a consequence, for dimension 4 and
higher, we show that the backward ...
ON LOCALLY CONFORMALLY FLAT GRADIENT SHRINKING RICCI SOLITONS
SHRINKING RICCI SOLITONS CONFORMALLY FLAT
2015/8/17
In this paper, we first apply an integral identity on Ricci solitons to prove that
closed locally conformally flat gradient Ricci solitons are of constant sectional curvature.
We then ge...
The paper considers a manifold M evolving under the Ricci
ow and establishes a series of gradient
estimates for positive solutions of the heat equation on M. Among other results, we prove Li-Yau-ty...
THE BACKWARD BEHAVIOR OF THE RICCI AND CROSS CURVATURE FLOWS ON SL(2, R)
BACKWARD BEHAVIOR CROSS CURVATURE FLOWS
2015/8/17
This paper is concerned with properties of maximal solutions of the
Ricci and cross curvature flows on locally homogeneous three-manifolds of type
SL2(R). We prove that, generically, a maximal...
BACKWARD RICCI FLOW ON LOCALLY HOMOGENEOUS THREE-MANIFOLDS
THREE-MANIFOLDS LOCALLY HOMOGENEOUS
2015/8/17
In this paper, we study the backward Ricci flow on locally homogeneous
3-manifolds. We describe the long time behavior and show that, typically and after
a proper re-scaling, there is converge...
DIFFERENTIAL HARNACK ESTIMATES FOR BACKWARD HEAT EQUATIONS WITH POTENTIALS UNDER THE RICCI FLOW
HARNACK ESTIMATES WITH POTENTIALS UNDER THE RICCI FLOW
2015/8/17
In this paper, we derive a general evolution formula for possible Harnack quantities. As a consequence, we prove several differential Harnack inequalities
for positive solutions of backward hea...