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1 LAMA - Laboratoire d-Analyse et de Mathématiques Appliquées 2 Harish-Chandra Research Institute

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 case of generalized Sasakian space form.

Keywords : generalized Sasakian space forms generalized complex space forms Biharmonic submanifolds





Author: Julien Roth - Abhitosh Upadhyay -

Source: https://hal.archives-ouvertes.fr/



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