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2019•Analele Universităţii "Ovidius" Constanţa. Seria MatematicăOpen access

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

Shyamal Kumar Hui, Daniel Breaz, Pradip Mandal

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Abstract

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.

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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.

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Available abstract

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.

Key concepts: Biharmonic equation, Submanifold, Harmonic, Mathematics, Space (punctuation), Mathematical analysis, Space form, Pure mathematics

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