Statistical Maps and Chen’s First Inequality for These Maps

KAZAN S., Suddiqui A. N.

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

  • Yayın Türü: Kitapta Bölüm / Araştırma Kitabı
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1007/978-981-95-5148-4_8
  • Yayınevi: Springer International Publishing Ag
  • Sayfa Sayıları: ss.251-268
  • Anahtar Kelimeler: Chen’s first inequality, Doubly totally geodesic map, Statistical manifold, Statistical map
  • İnönü Üniversitesi Adresli: Evet

Özet

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.