Statistical Maps and Chen’s First Inequality for These Maps

KAZAN, SEMA; Suddiqui, Aliya

doi:10.1007/978-981-95-5148-4_8

Statistical Maps and Chen’s First Inequality for These Maps

KAZAN S., Suddiqui A. N.

in: Infosys Science Foundation Series in Mathematical Sciences, Springer International Publishing Ag, pp.251-268, 2026

Publication Type: Book Chapter / Chapter Research Book
Publication Date: 2026
Doi Number: 10.1007/978-981-95-5148-4_8
Publisher: Springer International Publishing Ag
Page Numbers: pp.251-268
Keywords: Chen’s first inequality, Doubly totally geodesic map, Statistical manifold, Statistical map
Inonu University Affiliated: Yes

Abstract

This chapter proposes the concept of a statistical map between two statistical manifolds and presents illustrative examples. Subsequently, we generalize Chen’s first inequality for Riemannian maps to the framework of statistical maps by deriving the corresponding Gauss equation.