Journal of Differential Geometry

Surfaces contracting with speed |A|2

Oliver C. Schnurer

Full-text: Open access

Abstract

We show that closed strictly convex surfaces contracting with normal velocity equal to |A|2 shrink to a point in finite time. After appropriate rescaling, they converge to spheres. We describe our algorithm to find the main test function.

Article information

Source
J. Differential Geom., Volume 71, Number 3 (2005), 347-363.

Dates
First available in Project Euclid: 28 March 2006

Permanent link to this document
https://projecteuclid.org/euclid.jdg/1143571987

Digital Object Identifier
doi:10.4310/jdg/1143571987

Mathematical Reviews number (MathSciNet)
MR2198805

Zentralblatt MATH identifier
1101.53002

Citation

Schnurer, Oliver C. Surfaces contracting with speed |A| 2. J. Differential Geom. 71 (2005), no. 3, 347--363. doi:10.4310/jdg/1143571987. https://projecteuclid.org/euclid.jdg/1143571987


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