Abstract: Differential Geometry of Submanifolds and its Related Topics, pp. 147-163 (2013) No AccessSELF-SHRINKERS OF THE MEAN CURVATURE FLOWQing-Ming CHENG and Yejuan PENGQing-Ming CHENGDepartment of Applied Mathematics, Faculty of Sciences, Fukuoka University, Fukuoka 814-0180, Japan and Yejuan PENGDepartment of Mathematics, Graduate School of Science and Engineering, Saga University, Saga 840-8502, Japanhttps://doi.org/10.1142/9789814566285_0014Cited by:1 (Source: Crossref) PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail Abstract: In this paper, we study complete self-shrinkers of the mean curvature flow in Euclidean space ℝn+p, and obtain a rigidity theorem by generalizing the maximum principle for ℒ-operator. Here, ℒ-operator is introduced by Colding and Minicozzi in [Generic mean curvature flow I; generic singularities, Ann. Math. 175 (2012) 755-833]. Dedication: Dedicated to Professor Sadahiro Maeda for his sixtieth birthdayKeywords: mean curvature flowself-shrinkerℒ-operatorgeneralized maximum principle for ℒ-operatorpolynomial volume growth FiguresReferencesRelatedDetailsCited By 1Cited by lists all citing articles based on Crossref citation.Omori–Yau maximum principles, $$V$$ V -harmonic maps and their geometric applicationsQun Chen, Jürgen Jost and Hongbing Qiu8 May 2014 | Annals of Global Analysis and Geometry, Vol. 46, No. 3 Recommended Differential Geometry of Submanifolds and its Related TopicsMetrics History Keywordsmean curvature flowself-shrinkerℒ-operatorgeneralized maximum principle for ℒ-operatorpolynomial volume growthPDF download
Publication Year: 2013
Publication Date: 2013-10-29
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 2
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot