A study of Wintgen like inequality for submanifolds in statistical warped product manifolds
JOURNAL OF GEOMETRY, cilt.109, sa.2, 2018 (ESCI, Scopus)
- 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.