A study of Wintgen like inequality for submanifolds in statistical warped product manifolds

MURATHAN C., ŞAHİN B.

JOURNAL OF GEOMETRY, cilt.109, sa.2, 2018 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 109 Sayı: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s00022-018-0436-0
  • Dergi Adı: JOURNAL OF GEOMETRY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Anahtar Kelimeler: Statistical manifold, statistical submanifold, warped product manifold, the generalized Wintgen inequality, HYPERSURFACES
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, we study statistical manifolds and their submanifolds. We first construct two new examples of statistical warped product manifolds and give a method how to construct Kenmotsu-like statistical manifold and cosymplectic-like statistical manifold based on the existence of Kaehler-like statistical manifold. Then we obtain the general Wintgen inequality for statistical submanifolds of statistical warped product manifolds.