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A mean curvature
estimate for cylindrically bounded submanifolds
Luis J. Alías and Marcos Dajczer |
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Vol. 254 (2011), No. 1, 1–9
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Abstract |
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In an earlier article in coauthorship with G. P. Bessa, we obtained an estimate for the mean curvature of a cylindrically bounded proper submanifold in a product manifold where one factor is a Euclidean space. Here we extend this estimate to a general product ambient space endowed with a warped product structure. |
Keywords
Cylindrically bounded submanifolds, Omori–Yau maximum
principle, proper immersions
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Mathematical Subject Classification 2010
Primary: 53C40, 53C42
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Milestones
Received: 30 December 2010
Revised: 28 June 2011
Accepted: 10 August 2011
Published: 7 February 2012
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Authors |
| Luis J. Alías | |
| Departamento de Matemáticas Universidad de Murcia Campus de Espinardo E-30100 Espinardo, Murcia Spain |
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| Marcos Dajczer | |
| Instituto Nacional de Matemática
Pura e Aplicada Estrada Dona Castorina, 110 22460-320 Rio de Janeiro Brazil |
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