The symmetric `doughnut' evolving by its mean curvature
type: Item
instance of: scholarly article
title: The symmetric `doughnut' evolving by its mean curvature
zbMATH Open document ID: 0819.53030
author: Knut Smoczyk
published in: Hokkaido Mathematical Journal
publication date: 1995-09-06T00:00:00Z
review text: The author investigates flows of immersed manifolds \(M_ t\) in \(\mathbb{R}^{m+1}\) governed by their mean curvatures. The case of symmetric ``doughnuts'' \(M_ t\) is under consideration as well as the ``generating manifolds'' \(C_ t\) defined as intersections of \(M_ t\) with the half space \(\mathbb{R}^ m>0\). Existence of those families, their convergence and some other properties are established.
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 37C10
zbMATH DE Number: 720803
zbMATH Keywords: immersed manifolds
zbMATH Keywords: mean curvatures
reviewed by: Yuri E. Gliklikh
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.14492/hokmj/1381413103
OpenAlex ID: W2095507528
DOI: 10.14492/HOKMJ/1381413103
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description: scientific article; zbMATH DE number 720803