Publikation: The constant angle problem for mean curvature flow inside rotational tori
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2014
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Mathematical Research Letters. 2014, 21(3), pp. 537-551. ISSN 1073-2780. eISSN 1945-001X. Available under: doi: 10.4310/MRL.2014.v21.n3.a10
Zusammenfassung
We flow a hypersurface in Euclidean space by mean curvature flow (MCF) with a Neumann boundary condition, where the boundary manifold is any torus of revolution. If we impose the conditions that the initial manifold is compatible and does not contain the rotational vector field in its tangent space, then MCF exists for all time and converges to a flat cross-section as t→∞.
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510 Mathematik
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LAMBERT, Ben, 2014. The constant angle problem for mean curvature flow inside rotational tori. In: Mathematical Research Letters. 2014, 21(3), pp. 537-551. ISSN 1073-2780. eISSN 1945-001X. Available under: doi: 10.4310/MRL.2014.v21.n3.a10BibTex
@article{Lambert2014const-30404,
year={2014},
doi={10.4310/MRL.2014.v21.n3.a10},
title={The constant angle problem for mean curvature flow inside rotational tori},
number={3},
volume={21},
issn={1073-2780},
journal={Mathematical Research Letters},
pages={537--551},
author={Lambert, Ben}
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<dcterms:abstract xml:lang="eng">We flow a hypersurface in Euclidean space by mean curvature flow (MCF) with a Neumann boundary condition, where the boundary manifold is any torus of revolution. If we impose the conditions that the initial manifold is compatible and does not contain the rotational vector field in its tangent space, then MCF exists for all time and converges to a flat cross-section as t→∞.</dcterms:abstract>
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