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- Title
A note on singular time of mean curvature flow.
- Authors
Chen, Jingyi; He, Weiyong
- Abstract
We show that mean curvature flow of a compact submanifold in a complete Riemannian manifold cannot form singularity at time infinity if the ambient Riemannian manifold has bounded geometry and satisfies certain curvature and volume growth conditions.
- Subjects
MATHEMATICAL singularities; CURVATURE; COMPACTIFICATION (Mathematics); SUBMANIFOLDS; RIEMANNIAN manifolds; ALGEBRAIC geometry; MATHEMATICAL analysis
- Publication
Mathematische Zeitschrift, 2010, Vol 266, Issue 4, p921
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-009-0604-x