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DUAL CONNECTIONS ON A HILBERT BUNDLE OF GENERALIZED STATISTICAL MANIFOLDS.

Authors :
AMOUSSOU, AMOUR T. GBAGUIDI
OGOUYANDJOU, CARLOS
Source :
Global Journal of Advance Research on Classical & Modern Geometries; 2020, Vol. 9 Issue 2, p140-147, 8p
Publication Year :
2020

Abstract

In this paper, we propose a Hilbert bundle of generalized statistical manifold with the introduction of a family of α-connections. The expressions of parallel transport for the exponential and mixture connections are derived, and we prove that those two connections are dual and curvature-free. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
MIXTURES

Details

Language :
English
ISSN :
22845569
Volume :
9
Issue :
2
Database :
Complementary Index
Journal :
Global Journal of Advance Research on Classical & Modern Geometries
Publication Type :
Academic Journal
Accession number :
148616767