Mean curvature flow closes open ends of noncompact surfaces of rotation


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/84086

Title:	Mean curvature flow closes open ends of noncompact surfaces of rotation
Authors:	Giga, Yoshikazu Browse this author
	Seki, Yukihiro Browse this author
	Umeda, Noriaki Browse this author
Keywords:	axisymmetric hypersurface
	mean curvature flow
	quenching
Issue Date:	20-Feb-2009
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	938
Start Page:	1
End Page:	22
Abstract:	We discuss the motion of noncompact axisymmetric hypersurfaces Tt volved by mean curvature flow. Our study provides a class of hypersurfaces hat share the same quenching time with that of the shrinking ylinder evolved by the flow and prove that they tend to a smooth hypersurface aving no pinching neck and having closed ends at infinity of the xis of rotation as the quenching time is approached. Moreover, they are ompletely characterized by a condition on initial hypersurface.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69746
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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