<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Here we have studied <italic>f</italic>-biharmonic and bi-<italic>f</italic>-harmonic submanifolds of generalized (<italic>k, µ</italic>)-space-forms and obtained a necessary and sufficient condition on a submanifold of generalized (<italic>k, µ</italic>)-space-form to be f-biharmonic and bi-f-harmonic submanifold. We have also studied <italic>f-</italic>biharmonic hypersurfaces of said ambient space forms.</p></abstract>

Here we have studied f-biharmonic and bi-f-harmonic submanifolds of generalized (k, µ)-space-forms and obtained a necessary and sufficient condition on a submanifold of generalized (k, µ)-space-form to be f-biharmonic and bi-f-harmonic submanifold. We have also studied f-biharmonic hypersurfaces of said ambient space forms.

<italic>f</italic>-biharmonic and bi-<italic>f</italic>-harmonic submanifolds of generalized (<italic>k, µ</italic>)-space-forms

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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-biharmonic and bi--harmonic submanifolds of generalized ()-space-forms

Here we have studied f-biharmonic and bi-f-harmonic submanifolds of generalized (k, µ)-space-forms and obtained a necessary and sufficient condition on a...

f-biharmonic and bi-f-harmonic submanifolds of generalized (k, µ)-space-forms

Published Online: Dec 21, 2019

Page range: 97 - 112

Received: Sep 26, 2018

Accepted: Oct 08, 2019

DOI: https://doi.org/10.2478/auom-2019-0036

Keywords
generalized (,)-space-forms, -biharmonic submanifold, bi--biharmonic submanifold, -biharmonic hypersurface

© 2019 Shyamal Kumar Hui et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

f-biharmonic and bi-f-harmonic submanifolds of generalized (k, µ)-space-forms

Published Online: Dec 21, 2019

Page range: 97 - 112

Received: Sep 26, 2018

Accepted: Oct 08, 2019

DOI: https://doi.org/10.2478/auom-2019-0036

Keywordsgeneralized (,)-space-forms, -biharmonic submanifold, bi--biharmonic submanifold, -biharmonic hypersurface

© 2019 Shyamal Kumar Hui et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
generalized (,)-space-forms, -biharmonic submanifold, bi--biharmonic submanifold, -biharmonic hypersurface