f-Biharmonic and bi-f-harmonic submanifolds of generalized space forms

Julien Roth; Abhitosh Upadhyay

f-Biharmonic and bi-f-harmonic submanifolds of generalized space forms

Differential Geometry 2016-09-28 v1

Authors: Julien Roth , Abhitosh Upadhyay

Abstract

We study f-biharmonic and bi-f-harmonic submanifolds in both generalized complex and Sasakian space forms. We prove necessary and sufficient condition for f-biharmonicity and bi-f-harmonicity in the general case and many particular cases. Some non-existence results are also obtained.

Keywords

f-biharmonic submanifold bi-f-harmonic submanifold generalized space form complex space form Sasakian space form

Cite

@article{arxiv.1609.08599,
  title  = {f-Biharmonic and bi-f-harmonic submanifolds of generalized space forms},
  author = {Julien Roth and Abhitosh Upadhyay},
  journal= {arXiv preprint arXiv:1609.08599},
  year   = {2016}
}

Comments

28 pages, no figures. arXiv admin note: substantial text overlap with arXiv:1602.06131

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