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Uniqueness of self-similar shrinkers with asymptotically cylindrical ends
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Lu Wang
Published/Copyright:
March 7, 2014
Abstract
In this paper, we show the uniqueness of smooth embedded self-shrinkers asymptotic to infinite order to a generalized cylinder. Also, we construct non-rotationally symmetric self-shrinking ends asymptotic to a generalized cylinder with rate as fast as any given polynomial.
The author would like to thank FIM/ETH for their hospitality during her visit in December 2012 while part of this paper was written.
Received: 2013-9-18
Revised: 2014-1-13
Published Online: 2014-3-7
Published in Print: 2016-6-1
© 2016 by De Gruyter
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Articles in the same Issue
- Frontmatter
- Global gradient estimates for elliptic equations of p(x)-Laplacian type with BMO nonlinearity
- Universal and homogeneous embeddings of dual polar spaces of rank 3 defined over quadratic alternative division algebras
- Mixing operators and small subsets of the circle
- Singularities on the base of a Fano type fibration
- Stable representation homology and Koszul duality
- An inverse spectral problem for a star graph of Krein strings
- Uniqueness of self-similar shrinkers with asymptotically cylindrical ends
- Ultraproducts, QWEP von Neumann algebras, and the Effros–Maréchal topology
Articles in the same Issue
- Frontmatter
- Global gradient estimates for elliptic equations of p(x)-Laplacian type with BMO nonlinearity
- Universal and homogeneous embeddings of dual polar spaces of rank 3 defined over quadratic alternative division algebras
- Mixing operators and small subsets of the circle
- Singularities on the base of a Fano type fibration
- Stable representation homology and Koszul duality
- An inverse spectral problem for a star graph of Krein strings
- Uniqueness of self-similar shrinkers with asymptotically cylindrical ends
- Ultraproducts, QWEP von Neumann algebras, and the Effros–Maréchal topology
