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Stability of Stationary Wave Maps from a Curved Background to a Sphere
Stability of Stationary Wave Maps Curved Background Sphere
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2012/4/18
We study time and space equivariant wave maps from $M\times\RR\rightarrow S^2,$ where $M$ is diffeomorphic to a two dimensional sphere and admits an action of SO(2) by isometries. We assume that metri...
The second pinching theorem for hypersurfaces with constant mean curvature in a sphere
Hypersurfaces with constant mean curvature Rigidity Scalar curvature Clifford torus
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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...
Linking, twisting, writhing and helicity on the 3-sphere and in hyperbolic 3-space
Linking twisting writhing helicity 3-sphere and in hyperbolic 3-space
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2010/12/8
In the rst paper of this series, \Electrodynamics and the Gauss Linking Integral on the 3-sphere and in hyperbolic 3-space," we developed a steady-state version of classical electrodynamics in these ...