Open AccessA Bernstein type theorem of ancient solutions to the mean curvature flow
Author(s) -
Keita Kunikawa
Publication year - 2015
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/12802
Subject(s) - mean curvature flow , curvature , mean curvature , type (biology) , mathematics , flow (mathematics) , center of curvature , total curvature , mathematical analysis , geometry , geology , paleontology
We derive a curvature estimate for the entire graphic solution to the mean curvature flow. As a consequence we show a Bernstein type theorem for ancient solutions (or eternal solutions) to the mean curvature flow.