Corrigendum to "On the 1/H-flow by p-Laplace approximation: new estimates via fake distances under Ricci lower bounds [Amer. J. Math. 144 (2022), no. 3, 779–849]"
{"title":"Corrigendum to \"On the 1/H-flow by p-Laplace approximation: new estimates via fake distances under Ricci lower bounds [Amer. J. Math. 144 (2022), no. 3, 779–849]\"","authors":"L. Mari, M. Rigoli, A. G. Setti","doi":"10.1353/ajm.2023.a897493","DOIUrl":null,"url":null,"abstract":"abstract:We correct a mistake in our proof of Lemma~2.17. Although we have to strengthen the assumptions therein and, accordingly, in Theorem~2.22, all of the results on the existence and properties of the IMCF are not affected. Minor changes, with no influence elsewhere in the paper, regard Lemma~3.3, Proposition~4.3 and Lemma~5.3.","PeriodicalId":7453,"journal":{"name":"American Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7000,"publicationDate":"2023-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"American Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1353/ajm.2023.a897493","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
abstract:We correct a mistake in our proof of Lemma~2.17. Although we have to strengthen the assumptions therein and, accordingly, in Theorem~2.22, all of the results on the existence and properties of the IMCF are not affected. Minor changes, with no influence elsewhere in the paper, regard Lemma~3.3, Proposition~4.3 and Lemma~5.3.
期刊介绍:
The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field. Published since 1878, the Journal has earned its reputation by presenting pioneering mathematical papers. It does not specialize, but instead publishes articles of broad appeal covering the major areas of contemporary mathematics. The American Journal of Mathematics is used as a basic reference work in academic libraries, both in the United States and abroad.