Mean curvature flow of the graphs of maps between compact manifolds
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- by Kuo-Wei Lee and Yng-Ing Lee PDF
- Trans. Amer. Math. Soc. 363 (2011), 5745-5759 Request permission
Abstract:
We make several improvements on the results of M.-T. Wang (2002) and his joint paper with M.-P. Tsui (2004) concerning the long time existence and convergence for solutions of mean curvature flow in higher co-dimension. Both the curvature condition and lower bound of $*\Omega$ are weakened. New applications are also obtained.References
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Additional Information
- Kuo-Wei Lee
- Affiliation: Institute of Mathematics, Academia Sinica, Taipei, Taiwan
- Email: d93221007@ntu.edu.tw
- Yng-Ing Lee
- Affiliation: Department of Mathematics, National Taiwan University, Taipei, Taiwan – and – National Center for Theoretical Sciences, Taipei Office, National Taiwan University, Taipei, Taiwan
- Email: yilee@math.ntu.edu.tw
- Received by editor(s): October 17, 2008
- Received by editor(s) in revised form: September 11, 2009
- Published electronically: June 15, 2011
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 363 (2011), 5745-5759
- MSC (2010): Primary 53C44
- DOI: https://doi.org/10.1090/S0002-9947-2011-05204-9
- MathSciNet review: 2817407