On the mean curvature estimates for bounded submanifolds
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- by Leslie Coghlan, Yoe Itokawa and Roman Kosecki PDF
- Proc. Amer. Math. Soc. 114 (1992), 1173-1174 Request permission
Abstract:
A Liouville-type theorem is proved for strongly subharmonic functions on complete riemannian manifolds of bounded curvature. We use this to give a simple proof of a theorem of Jorge. Koutroufiotis and Xavier, which gives an estimate for the exterior size of a submanifold in terms of the sup of the length of its mean curvature.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 114 (1992), 1173-1174
- MSC: Primary 53C20; Secondary 53C42
- DOI: https://doi.org/10.1090/S0002-9939-1992-1062829-4
- MathSciNet review: 1062829