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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Width and flow of hypersurfaces by curvature functions


Authors: Maria Calle, Stephen J. Kleene and Joel Kramer
Journal: Trans. Amer. Math. Soc. 363 (2011), 1125-1135
MSC (2010): Primary 53C44
Published electronically: October 14, 2010
MathSciNet review: 2737259
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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.


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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
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

DOI: http://dx.doi.org/10.1090/S0002-9947-2010-05057-3
PII: S 0002-9947(2010)05057-3
Received by editor(s): April 18, 2008
Published electronically: October 14, 2010
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.