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 identifier

  • 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.