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f-Biharmonic Submanifolds of Generalized Space Forms

Results in Mathematics volume 75, Article number: 20 (2020) Cite this article

Abstract

We study f-biharmonic submanifolds in both generalized complex and Sasakian space forms. We prove necessary and sufficient conditions for f-biharmonicity in the general case and many particular cases. Some geometric estimates as well as non-existence results are also obtained.

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Acknowledgements

Second author is supported by National Post-doctoral Fellowship of Science and Engineering Research Board (File no. PDF/2017/001165), India.

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Authors and Affiliations

  1. Laboratoire d’Analyse et de Mathématiques Appliquées, UPEM-UPEC, CNRS, 77454, Marne-la-Vallée, France

    Julien Roth

  2. Indian Institute of Science, Bangalore, 560012, India

    Abhitosh Upadhyay

Authors
  1. Julien Roth
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  2. Abhitosh Upadhyay
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Correspondence to Abhitosh Upadhyay.

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Roth, J., Upadhyay, A. f-Biharmonic Submanifolds of Generalized Space Forms. Results Math 75, 20 (2020). https://doi.org/10.1007/s00025-019-1142-4

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  • DOI: https://doi.org/10.1007/s00025-019-1142-4

Keywords

  • f-biharmonic submanifolds
  • generalized complex space forms
  • generalized Sasakian space forms

Mathematics Subject Classification

  • 53C42
  • 53C43