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CROSS CURVATURE FLOW ON LOCALLY HOMOGENEOUS THREE-MANIFOLDS (II)
CURVATURE FLOW THREE-MANIFOLDS
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2015/8/17
In this paper, we study the positive cross curvature flow on locally
homogeneous 3-manifolds. We describe the long time behavior of these flows. We
combine this with earlier results conc...
BACKWARD RICCI FLOW ON LOCALLY HOMOGENEOUS THREE-MANIFOLDS
THREE-MANIFOLDS LOCALLY HOMOGENEOUS
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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...
CROSS CURVATURE FLOW ON LOCALLY HOMOGENOUS THREE-MANIFOLDS (I)
HOMOGENOUS THREE-MANIFOLDS CURVATURE FLOW
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2015/8/17
Chow and Hamilton introduced the cross curvature flow on closed 3-
manifolds with negative or positive sectional curvature. In this paper, we study
the negative cross curvature flow in t...
Finiteness of nonzero degree maps between three-manifolds
Finiteness of nonzero degree maps three-manifolds Geometric Topology
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2011/9/22
Abstract: In this paper, we prove that every orientable closed 3-manifold dominates at most finitely many homeomorphically distinct irreducible non-geometric 3-manifolds. Moreover, for any integer $d>...
The twisted Alexander polynomial for finite abelian covers over three manifolds with boundary
Reidemeister torsion:Twisted Alexander polynomial:branched cover:links:Homology orientation
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2011/9/13
Abstract: We consider a sign--determined Reidemeister torsion with multivariables for three manifolds with boundary. This invariant is often called the twisted Alexander polynomial when we consider li...
Three-manifolds and Kaehler groups
Three-manifolds Kaehler groups
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2010/11/23
We give a simple proof of a result originally due to Dimca and Suciu: a group that is both Kaehler and the fundamental group of a closed three-manifold is finite. We also prove that a group that is bo...
Minimal immersions of closed surfaces in hyperbolic three-manifolds
Minimal immersions closed surfaces in hyperbolic three-manifolds
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2010/11/11
We study minimal immersions of closed surfaces (of genus $g \ge 2$) in hyperbolic 3-manifolds, with prescribed data $(\sigma, t\alpha)$, where $\sigma$ is a conformal structure on a topological surfac...
Computer symbol calculation of invariants of three-manifolds obtained from trefoil knot
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2007/7/28
期刊信息
篇名
Computer symbol calculation of invariants of three-manifolds obtained from trefoil knot
语种
英文
撰写或编译
撰写
作者
李邦河,李起升,C.Peterson
第一作者单位
中科院数学与系统科学研究院
刊物名称
Chinese Science Bulletin (科学通报英文版)
页面
vol...