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MOTION OF HYPERSURFACES BY CURVATURE

Part of: Parabolic equations and systems Global differential geometry

Published online by Cambridge University Press:  19 August 2015

MAT LANGFORD
MAT LANGFORD*
Affiliation:
Fachbereich Mathematik und Informatik, Freie Universität Berlin, Arnimallee 3, 14195 Berlin, Germany email mathew.langford@fu-berlin.de
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Abstract

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Keywords

curvature flowsconvexity estimatescylindrical estimatesnoncollapsing

MSC classification

Primary: 53C44: Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
Secondary: 35K55: Nonlinear parabolic equations
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 92 , Issue 3 , December 2015 , pp. 516 - 517
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

References

Andrews, B. and Langford, M., ‘Cylindrical estimates for hypersurfaces moving by convex curvature functions’, Anal. PDE 7 (2014), 1091–1107.CrossRefGoogle Scholar
Andrews, B. and Langford, M., ‘Two-sided non-collapsing curvature flows’, Ann. Sc. Norm. Super. Pisa Cl. Sci. , to appear.Google Scholar
Andrews, B., Langford, M. and McCoy, J., ‘Non-collapsing in fully non-linear curvature flows’, Ann. Inst. H. Poincaré Anal. Non Linéaire 30 (2013), 23–32.CrossRefGoogle Scholar
Andrews, B., Langford, M. and McCoy, J., ‘Convexity estimates for hypersurfaces moving by convex curvature functions’, Anal. PDE 7 (2014), 407–433.CrossRefGoogle Scholar
Andrews, B., Langford, M. and McCoy, J., ‘Convexity estimates for hypersurfaces moving by curvature functions’, J. Differential Geom. 99 (2015), 47–75.CrossRefGoogle Scholar