H-QUASI-HEMI-SLANT SUBMERSIONS

Kumar, Sumeet; Kumar, Sushil; Prasad, Rajendra; VANLI, AYSEL

doi:10.4134/ckms.c220175

H-QUASI-HEMI-SLANT SUBMERSIONS

Kumar S., Kumar S., Prasad R., VANLI A.

Communications of the Korean Mathematical Society, cilt.38, sa.2, ss.599-620, 2023 (ESCI, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 38 Sayı: 2
Basım Tarihi: 2023
Doi Numarası: 10.4134/ckms.c220175
Dergi Adı: Communications of the Korean Mathematical Society
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
Sayfa Sayıları: ss.599-620
Anahtar Kelimeler: integrability, quaternionic Hermitian manifold, Riemannian submersions, totally geodesic
Gazi Üniversitesi Adresli: Evet

Özet

In this paper, h-quasi-hemi-slant submersions and almost h-quasihemi-slant submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds are introduced. Fundamental results on h-quasi-hemi-slant submersions: the integrability of distributions, geometry of foliations and the conditions for such submersions to be totally geodesic are investigated. Moreover, some non-trivial examples of the h-quasi-hemi-slant submersion are constructed.