Work

Investigating Statistical Submersions and Their Properties

Year: 2024

Type: article

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.

Source: Mathematics

DOI: 10.3390/math12172750

Authors: Aliya Naaz Siddiqui, Fatimah Alghamdi

Institutions: Galgotias University, University of Jeddah

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funder: University of Jeddah