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Investigating Statistical Submersions and Their Properties
- Source :
- Mathematics, Vol 12, Iss 17, p 2750 (2024)
- Publication Year :
- 2024
- Publisher :
- MDPI AG, 2024.
-
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.
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 12
- Issue :
- 17
- Database :
- Directory of Open Access Journals
- Journal :
- Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.03b829904224470adc2b29455c3857b
- Document Type :
- article
- Full Text :
- https://doi.org/10.3390/math12172750