Skip to main content
Journal ArticleOPEN ACCESS

Lower volume growth estimates for self-shrinkers of mean curvature flow

  • Li H
  • Wei Y
Proceedings of the American Mathematical Society (2014) 142(9) 3237-3248
DOI: 10.1090/s0002-9939-2014-12037-5
17Citations
Citations of this article
5Readers
Mendeley users who have this article in their library.

Abstract

We obtain a Calabi-Yau type volume growth estimate for complete noncompact self-shrinkers of the mean curvature flow. More precisely, every complete noncompact properly immersed self-shrinker has at least linear volume growth.

References Powered by Scopus

Asymptotic behavior for singularities of the mean curvature flow

Journal of Differential Geometry
605Citations
N/AReaders
Get full text

Generic mean curvature flow I; Generic singularities

Annals of Mathematics
365Citations
N/AReaders
Get full text

Sobolev and mean‐value inequalities on generalized submanifolds of R<sup>n</sup>

Communications on Pure and Applied Mathematics
311Citations
N/AReaders
Get full text
View more at Scopus

Cited by Powered by Scopus

Biharmonic submanifolds and biharmonic maps in Riemannian geometry

Biharmonic Submanifolds And Biharmonic Maps In Riemannian Geometry
62Citations
N/AReaders
Get full text

Diameter estimation of gradient ρ-Einstein solitons

Journal of Geometry and Physics
10Citations
N/AReaders
Get full text

Complete self-shrinkers with constant norm of the second fundamental form

Mathematische Zeitschrift
9Citations
N/AReaders
Get full text
View more at Scopus

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Cite

CITATION STYLE

APA

Li, H., & Wei, Y. (2014). Lower volume growth estimates for self-shrinkers of mean curvature flow. Proceedings of the American Mathematical Society, 142(9), 3237–3248. https://doi.org/10.1090/s0002-9939-2014-12037-5

Readers' Seniority

Tooltip

Professor / Associate Prof. 2

50%

Researcher 2

50%

Readers' Discipline

Tooltip

Mathematics 4

100%

Save time finding and organizing research with Mendeley

Sign up for free