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Inequalities for Statistical Submanifolds in Sasakian Statistical Manifolds

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Differential Geometry, Algebra, and Analysis (ICDGAA 2016)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 327))

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Abstract

In this paper, we obtain the bounds for the normalized \(\delta \)-Casorati curvatures for statistical submanifolds in Sasakian statistical manifolds with constant curvature using T. Oprea optimization technique. We also obtain the bounds in the general setting of a semi-symmetric metric connection.

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Acknowledgements

The authors would like to express their sincere gratitude to Prof. Mohammad Hasan Shahid for many valuable remarks and suggestions in shaping the article. The authors are also very thankful to the referees for their valuable comments.

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Authors and Affiliations

  1. Faculty of Natural Sciences, Department of Mathematics, Jamia Millia Islamia, New Delhi, 110025, India

    Mohd. Aquib

  2. Faculty of Science, Department of Mathematics, Kings Abdul Aziz University, Jeddah, 21589, Saudi Arabia

    Falleh R. Al-Solamy

  3. Department of Mathematics, Al-Falah University, Haryana, 121004, India

    Mohammed Jamali

  4. Department of Mathematics, Science College, Imam Abdulrahman Bin Faisal University, Dammam, Saudi Arabia

    Maryam T. Aldossary

  5. IMAG: Alexander Grothendieck Research Institute, University of Montpellier, Montpellier, France

    Michel Nguiffo Boyom

Authors
  1. Mohd. Aquib
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  2. Falleh R. Al-Solamy
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  3. Mohammed Jamali
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  4. Maryam T. Aldossary
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  5. Michel Nguiffo Boyom
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Corresponding author

Correspondence to Mohd. Aquib .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Jamia Millia Islamia, New Delhi, Delhi, India

    Mohammad Hasan Shahid

  2. Department of Mathematics, Aligarh Muslim University, Aligarh, India

    Mohammad Ashraf

  3. Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

    Falleh Al-Solamy

  4. Department of Information Science, Toho University, Chiba, Japan

    Yasunori Kimura

  5. Department of Mathematics, Petroleum and Gas University of Ploieşti, Ploiești, Romania

    Gabriel Eduard Vilcu

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© 2020 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Aquib, M., Al-Solamy, F.R., Jamali, M., Aldossary, M.T., Boyom, M.N. (2020). Inequalities for Statistical Submanifolds in Sasakian Statistical Manifolds. In: Shahid, M., Ashraf, M., Al-Solamy, F., Kimura, Y., Vilcu, G. (eds) Differential Geometry, Algebra, and Analysis. ICDGAA 2016. Springer Proceedings in Mathematics & Statistics, vol 327. Springer, Singapore. https://doi.org/10.1007/978-981-15-5455-1_5

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