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Investigating Statistical Submersions and Their Properties

Author

Listed:
  • Aliya Naaz Siddiqui

    (Division of Mathematics, School of Basic Sciences, Galgotias University, Greater Noida 203201, India)

  • Fatimah Alghamdi

    (Department of Mathematics and Statistics, College of Science, University of Jeddah, Jeddah 21589, Saudi Arabia)

Abstract

This research aims to prove a sharp relationship between statistical submersions and doubly minimal immersions. We consider a non-trivial statistical submersion on a statistical manifold with isometric fibers. Then, we investigate that it cannot be isometrically immersed as a doubly minimal manifold into any statistical manifold of non-positive sectional curvature using a submersion invariant for dual connections and additional conditions.

Suggested Citation

  • Aliya Naaz Siddiqui & Fatimah Alghamdi, 2024. "Investigating Statistical Submersions and Their Properties," Mathematics, MDPI, vol. 12(17), pages 1-14, September.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:17:p:2750-:d:1471636
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