Biharmonic submanifolds of generalized space forms
Differential Geometry
2017-02-22 v1
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
Cite
@article{arxiv.1602.06131,
title = {Biharmonic submanifolds of generalized space forms},
author = {Julien Roth and Abhitosh Upadhyay},
journal= {arXiv preprint arXiv:1602.06131},
year = {2017}
}
Comments
17 pages, no figures