Generic Submersions from Kaehler Manifolds

Sayar, Cem; Tastan, HAKAN; Özdemir, Fatma; Tripathi, Mukut

doi:10.1007/s40840-018-00716-2

Generic Submersions from Kaehler Manifolds

Sayar C., Tastan H. M., Özdemir F., Tripathi M. M.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, sa.1, ss.809-831, 2020 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Basım Tarihi: 2020
Doi Numarası: 10.1007/s40840-018-00716-2
Dergi Adı: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
Sayfa Sayıları: ss.809-831
İstanbul Üniversitesi Adresli: Evet

Özet

In the present paper, we introduce a new kind of Riemannian submersion such that the fibers of such submersion are generic submanifolds in the sense of Ronsse that we call generic submersion. Some examples are given for generic submersion. Necessary and sufficient conditions are found for the integrability and totally geodesicness of the distributions which are mentioned in the definition. The geometry of the fibers is investigated. New results are obtained by considering the parallelism condition of canonical structures.