A bernstein type theorem of ancient solutions to the mean curvature flow

Keita Kunikawa

doi:10.1090/proc/12802

A bernstein type theorem of ancient solutions to the mean curvature flow

Keita Kunikawa

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1325-1333
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	144
Issue number	3
DOIs	https://doi.org/10.1090/proc/12802
Publication status	Published - 2016 Mar
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Access to Document

10.1090/proc/12802

Cite this

@article{0a4fa597357240dba42f92595f4e8638,

title = "A bernstein type theorem of ancient solutions to the mean curvature flow",

abstract = "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.",

author = "Keita Kunikawa",

note = "Publisher Copyright: {\textcopyright} 2015 American Mathematical Society.",

year = "2016",

month = mar,

doi = "10.1090/proc/12802",

language = "English",

volume = "144",

pages = "1325--1333",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "3",

}

TY - JOUR

T1 - A bernstein type theorem of ancient solutions to the mean curvature flow

AU - Kunikawa, Keita

PY - 2016/3

Y1 - 2016/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84954502019&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84954502019&partnerID=8YFLogxK

U2 - 10.1090/proc/12802

DO - 10.1090/proc/12802

M3 - Article

AN - SCOPUS:84954502019

VL - 144

SP - 1325

EP - 1333

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 3

ER -

A bernstein type theorem of ancient solutions to the mean curvature flow

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this