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PINCHING THEOREMS FOR SELF-SHRINKERS OF HIGHER CODIMENSIONS
Pinching theorems self-shrinkers of higher codimensions
2018/4/19
In this paper, we investigate the pinching phenomena of the tracefree second fundamental form of complete self-shrinkers of higher codimension. Firstly, assuming the mean curvature is nonzero everywhe...
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...
Local pinching estimates in 3-dim Ricci flow
Local pinching estimates 3-dim Ricci flow Differential Geometry
2012/6/30
We study curvature pinching estimates of Ricci flow on complete 3- dimensional manifolds without bounded curvature assumption. We will derive some general curvature conditions which are preserved on a...
The second pinching theorem for hypersurfaces with constant mean curvature in a sphere
Hypersurfaces with constant mean curvature Rigidity Scalar curvature Clifford torus
2011/1/20
We generalize the second pinching theorem for minimal hypersurfaces in a sphere due to Peng-Terng, Wei-Xu, Zhang, and Ding-Xin to the case of hypersurfaces with small constant mean curvature. Let Mn b...
Pinching on open manifolds
Pinching open manifolds
2010/12/7
We show that the 2-jet bundle of local Riemannian metrics on an arbitrary differentiable manifold admits a section which pointwise fulfills the curvature relation sec(g) = a for any a 2 R. It follows ...
二阶椭圆偏微分方程的Pinching-估计
椭圆方程 pinching-估计 凸性
2008/11/17
Pinching-估计是研究解的凸性的一种重要方法, 主要给出了半线性二阶椭圆偏微分方程的Pinching-估计,并将其推广到一类完全非线性二阶椭圆偏微分方程.
局部对称空间中具有平行平均曲率向量的黎曼叶层的Pinching定理
黎曼叶状结构 平均曲率 散度
2008/9/25
本文利用Nakagawa和Takagi的计算散度的方法,求出局部对称空间中具有平行平均曲率向量的黎曼叶状结构${\cal F}$上向量场的散度,并证明了其上的整体Pinching定理.
A Global Curvature Pinching Result of the First Eigenvalue of Laplacian on Riemannian Manifolds
Moser迭代 第一特征值 结点集 结点域
2008/5/15
通过利用一个拟阵与它的直立之间的关系,特别是通过处理一个拟阵与一个特殊映射 $f$之间的关系, 具体分析了V\'amos拟阵的直立问题,得到了除去平凡情形, V\'amos 拟阵没有直立的结论. 从而回答了由Welsh 提出``V\'amos拟阵是否有直立?''的问题.
关键词
Moser迭代
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Pinching, Pontrjagin classes, and negatively curved vector bundles
Pinching Pontrjagin classes negatively curved vector bundles
2010/11/1
We prove several finiteness results for the class $M_{a,b,G,n}$ of $n$-manifolds that have fundamental groups isomorphic to $G$ and that can be given complete Riemannian metrics of sectional curvature...