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Biharmonic
hypersurfaces in complete Riemannian manifolds
Luis J. Alías, S. Carolina García-Martínez and Marco Rigoli |
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Vol. 263 (2013), No. 1, 1–12
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Abstract |
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We consider biharmonic hypersurfaces in complete Riemannian manifolds and prove that, under some additional assumptions, they are minimal. |
Keywords
mean curvature vector, biharmonic hypersurfaces, Chen
conjecture
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Mathematical Subject Classification 2010
Primary: 53C40, 53C42
Secondary: 58E20
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Milestones
Received: 27 April 2012
Revised: 25 September 2012
Accepted: 3 October 2012
Published: 14 May 2013
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Authors |
| Luis J. Alías | |
| Departamento de Matemáticas Universidad de Murcia Campus de Espinardo 30100 Espinardo, Murcia Spain |
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| S. Carolina García-Martínez | |
| Departamento de Matemàticas Universidad de Murcia Campus de Espinardo 30100 Espinardo, Murcia Spain |
Departamento de Matemática Universidade de São Paulo Rua do Matão 1010 05508-900 São Paulo, SP Brazil |
| Marco Rigoli | |
| Dipartimento di Matematica Università degli studi di Milano via Saldini 50 I-20133 Milano Italy |
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