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

Wei, Yong

Description

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
URI: http://hdl.handle.net/1885/244988
Source: International Mathematics Research Notices
DOI: 10.1093/imrn/rnw100

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