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.

中文翻译：

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广义 (k, µ) 空间形式的 f-biharmonic 和 bi-f-harmonic 子流形

摘要 这里我们研究了广义(k, µ)-空间形式的f-biharmonic和bi-f-harmonic子流形，得到了广义(k, µ)-空间-形式的子流形为f的充要条件-biharmonic 和 bi-f-harmonic 子流形。我们还研究了所述环境空间形式的 f-双调和超曲面。