SOME PINCHING RESULTS FOR STATISTICAL SUBMANIFOLDS IN COSYMPLECTIC STATISTICAL MANIFOLDS

Authors

  • M. Aquib Department of Mathematics, Sri Venkateswara College, University of Delhi, New Delhi, India Author
  • M. Aslam Dr. Akhikesh Das Gupta Institute of technology and Management, New Delhi, India Author
  • M. N. Boyom Institut Montpelliérain Alexander Grothendieck, Université de Montpellier, CC051, Pl. E. Bataillo, F-34095 Montpellier, France Author

DOI:

https://doi.org/10.57016/MV-wvf08x70

Keywords:

Chen-Ricci inequality, dual connections, statistical manifolds, cosymplectic statistical manifolds

Subjects:

53B05, 53B20, 53C40

Abstract

In this article, we discuss the curvature properties of statistical submanifolds in cosymplectic statistical manifolds with constant curvature. We also establish some pinching results for such submanifolds and hypersurfaces in cosymplectic statistical manifolds having constant curvature. As an application of the main result we also obtain an obstruction condition for such immersion.

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Published

2023-04-15

Issue

Vol. 75 No. 2 (2023): Vol. 75, Issue 2

Section

Articles

License

Copyright (c) 2023 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.