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r-Almost Newton–Ricci solitons on Legendrian submanifolds of Sasakian space forms

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Abstract

We establish the geometrical bearing on Legendrian submanifolds of Sasakian space forms in terms of r-almost Newton–Ricci solitons (r-anrs) with the potential function \(\psi : M^{n} \rightarrow \mathcal {R}\). Also, we discuss the Legendrian immersion of Ricci solitons and obtain conditions for L-minimal and totally geodesic under Newton transformation. Finally, we furnish our paper with the study of 1-anrs on Legendrian submanifolds of Sasakian space form immersed in the locally symmetric Einstein manifolds.

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Acknowledgements

The authors express their sincere thanks to the anonymous referees for providing valuable suggestions for the improvement of the paper. The third author is grateful to the University of Technology and Applied Sciences-Shinas for their continuous support and encouragement to carry out this research work.

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Authors and Affiliations

  1. Department of Pure Mathematics, University of Calcutta, Kolkata, West Bengal, India

    Uday Chand De

  2. Department of Mathematics, College of Science, Jazan University, Jazan, Kingdom of Saudi Arabia

    Mohammad Danish Siddiqi

  3. Section of Mathematics, Department of Information Technology, University of Technology and Applied Sciences-Shinas, P.O. Box 77, 324, Shinas, Oman

    Sudhakar K. Chaubey

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  1. Uday Chand De
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  2. Mohammad Danish Siddiqi
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  3. Sudhakar K. Chaubey
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Correspondence to Sudhakar K. Chaubey.

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De, U.C., Siddiqi, M.D. & Chaubey, S.K. r-Almost Newton–Ricci solitons on Legendrian submanifolds of Sasakian space forms. Period Math Hung 84, 76–88 (2022). https://doi.org/10.1007/s10998-021-00394-x

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