Width and flow of hypersurfaces by curvature functions
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- by Maria Calle, Stephen J. Kleene and Joel Kramer PDF
- Trans. Amer. Math. Soc. 363 (2011), 1125-1135 Request permission
Abstract:
In this paper, we generalize a well-known estimate of Colding-Minicozzi for the extinction time of convex hypersurfaces in Euclidean space evolving by their mean curvature to a much broader class of parabolic curvature flows.References
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Additional Information
- Maria Calle
- Affiliation: Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Am Mühlenberg 1, 14476 Golm, Germany
- Email: maria.calle@aei.mpg.de
- Stephen J. Kleene
- Affiliation: Department of Mathematics, Johns Hopkins University, 3400 N. Charles Street, Baltimore, Maryland 21218
- Address at time of publication: Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139
- MR Author ID: 915857
- Email: skleene@math.jhu.edu, skleene@math.mit.edu
- Joel Kramer
- Affiliation: Department of Mathematics, Johns Hopkins University, 3400 N. Charles Street, Baltimore, Maryland 21218
- Email: jkramer@math.jhu.edu
- Received by editor(s): April 18, 2008
- Published electronically: October 14, 2010
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 363 (2011), 1125-1135
- MSC (2010): Primary 53C44
- DOI: https://doi.org/10.1090/S0002-9947-2010-05057-3
- MathSciNet review: 2737259