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Gauss curvature flow on surfaces of revolution
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Thalia D. Jeffres
Published/Copyright:
January 30, 2009
Abstract
We study two boundary value problems for a surface of revolution moving under Gauss curvature flow. The rotational symmetry allows us to reduce to an equation on the generating curve so that there is no restriction on the sign of the curvature of the initial surface.
Received: 2007-06-06
Revised: 2008-06-20
Published Online: 2009-01-30
Published in Print: 2009-May
© de Gruyter 2009
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- Tropical invariants from the secondary fan
- Quotients of projective spaces and spheres
- Gauss curvature flow on surfaces of revolution
- Stringy E-functions of hypersurfaces and of Brieskorn singularities
- Relations for virtual fundamental classes of Hilbert schemes of curves on surfaces
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Articles in the same Issue
- Tropical invariants from the secondary fan
- Quotients of projective spaces and spheres
- Gauss curvature flow on surfaces of revolution
- Stringy E-functions of hypersurfaces and of Brieskorn singularities
- Relations for virtual fundamental classes of Hilbert schemes of curves on surfaces
- The classification of surfaces with pg = q = 1 isogenous to a product of curves
- Some quasihomogeneous Legendrian varieties
- Families of surfaces and conjugate curve congruences
