{"title":"Flow","authors":"R. Hart","doi":"10.4324/9781315147857-8","DOIUrl":null,"url":null,"abstract":". We demonstrate that the property of being Alexandrov immersed is preserved along mean curvature flow. Furthermore, we demonstrate that mean curvature flow tech-niques for mean convex embedded flows such as noncollapsing and gradient estimates also hold in this setting. We also indicate the necessary modifications to the work of Brendle– Huisken to allow for mean curvature flow with surgery for the Alexandrov immersed, 2-dimensional setting.","PeriodicalId":48231,"journal":{"name":"Journal of Positive Psychology","volume":"13 1","pages":""},"PeriodicalIF":3.4000,"publicationDate":"2020-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Positive Psychology","FirstCategoryId":"102","ListUrlMain":"https://doi.org/10.4324/9781315147857-8","RegionNum":2,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PSYCHOLOGY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
. We demonstrate that the property of being Alexandrov immersed is preserved along mean curvature flow. Furthermore, we demonstrate that mean curvature flow tech-niques for mean convex embedded flows such as noncollapsing and gradient estimates also hold in this setting. We also indicate the necessary modifications to the work of Brendle– Huisken to allow for mean curvature flow with surgery for the Alexandrov immersed, 2-dimensional setting.
期刊介绍：
Positive psychology is about scientifically informed perspectives on what makes life worth living. It focuses on aspects of the human condition that lead to happiness, fulfillment, and flourishing. The Journal of Positive Psychology provides an interdisciplinary and international forum for the science and application of positive psychology. The Journal is devoted to basic research and professional application on states of optimal human functioning and fulfillment, and the facilitation and promotion of well-being. The Journal brings together leading work in positive psychology undertaken by researchers across different subdisciplines within psychology (e.g., social, personality, clinical, developmental, health, organizational), as well as across other social and behavioral disciplines.
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