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Mean curvature flow with free boundary – Type 2 singularities
Author(s) -
Wheeler Glen,
Wheeler ValentinaMira
Publication year - 2020
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201800156
Subject(s) - mathematics , gravitational singularity , curvature , mean curvature flow , type (biology) , singularity , boundary (topology) , infinity , cylinder , mathematical analysis , flow (mathematics) , mean curvature , geometry , ecology , biology
In this paper we give sufficient conditions that guarantee the mean curvature flow with free boundary on a pinched cylinder develops a Type 2 curvature singularity. We additionally prove that Type 0 singularities may only occur at infinity.