Volume growth of submanifolds and the Cheeger isoperimetric constant
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- by Vicent Gimeno and Vicente Palmer PDF
- Proc. Amer. Math. Soc. 141 (2013), 3639-3650 Request permission
Abstract:
We obtain an estimate of the Cheeger isoperimetric constant in terms of the volume growth for a properly immersed submanifold in a Riemannian manifold which possesses at least one pole and sectional curvature bounded from above.References
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Additional Information
- Vicent Gimeno
- Affiliation: Departament de Matemàtiques-INIT, Universitat Jaume I, Castelló, Spain
- Email: gimenov@guest.uji.es
- Vicente Palmer
- Affiliation: Departament de Matemàtiques-INIT, Universitat Jaume I, Castelló, Spain
- MR Author ID: 321288
- Email: palmer@mat.uji.es
- Received by editor(s): April 29, 2011
- Received by editor(s) in revised form: December 12, 2011
- Published electronically: June 14, 2013
- Additional Notes: This work was supported by Fundació Caixa Castelló-Bancaixa Grants P1.1B2006-34 and P1.1B2009-14 and by MICINN grant No. MTM2010-21206-C02-02.
- Communicated by: Michael Wolf
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 3639-3650
- MSC (2010): Primary 53C20, 53C42
- DOI: https://doi.org/10.1090/S0002-9939-2013-11664-3
- MathSciNet review: 3080186