Warped-Twisted Product Semi-Slant Submanifolds

TAŞTAN H. M., GERDAN AYDIN S.

FILOMAT, vol.36, no.5, pp.1587-1602, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 36 Issue: 5
  • Publication Date: 2022
  • Doi Number: 10.2298/fil2205587t
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.1587-1602
  • Istanbul University Affiliated: Yes

Abstract

We introduce the notion of warped-twisted product semi-slant submanifolds of the form M-f2(T) x(f1) M-theta with warping function f(2) on M-theta and twisting function f(1), where M-T is a holomorphic and M-theta is a slant submanifold of a globally conformal Kaehler manifold. We prove that a warped-twisted product semi-slant submanifold of a globally conformal Kaehler manifold is a locally doubly warped product. Then we establish a general inequality for doubly warped product semi-slant submanifolds and get some results for such submanifolds by using the equality sign of the general inequality.