Skip navigation
Skip navigation

On Lower Volume Growth Estimate for f-Minimal Submanifolds in Gradient Shrinking Soliton

Wei, Yong


Let (Mm,g¯,f) be a complete gradient shrinking soliton with convex potential f. We show that any complete noncompact properly immersed f-minimal submanifold Σn in Mm must have at least linear volume growth. This is a Calabi–Yau type volume growth estimate.

CollectionsANU Research Publications
Date published: 2017
Type: Journal article
Source: International Mathematics Research Notices
DOI: 10.1093/imrn/rnw100


File Description SizeFormat Image
01_Wei_On_Lower_Volume_Growth_2017.pdf218.2 kBAdobe PDF    Request a copy

Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  19 May 2020/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator