Biharmonic submanifolds of generalized space forms

Julien Roth,Abhitosh Upadhyay

doi:10.1016/j.difgeo.2016.11.003

Biharmonic submanifolds of generalized space forms

Julien Roth, Abhitosh Upadhyay

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https://doi.org/10.1016/j.difgeo.2016.11.003

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Journal: Differential Geometry and its Applications	Publication Date: Nov 22, 2016
Citations: 22	License type: publisher-specific-oa

Affiliation: French National Centre for Scientific Research, Laboratoire d’Analyse et de Mathématiques Appliquées, Université Gustave Eiffel, Harish-Chandra Research Institute

#Sasakian Space Forms #Complex Space Form + Show 8 more

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Abstract

We consider biharmonic submanifolds in both generalized complex and Sasakian space forms. After giving the biharmonicity conditions for submanifolds in these spaces, we study different particular cases for which we obtain curvature estimates. We consider curves, complex and Lagrangian surfaces and hypersurfaces for the generalized complex space form as well as hypersurfaces, invariant and anti-invariant submanifolds in the case of generalized Sasakian space forms.

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