On a certain type of warped-twisted product submanifolds

GERDAN AYDIN S., TAŞTAN H. M.

TURKISH JOURNAL OF MATHEMATICS, vol.46, no.7, pp.2645-2662, 2022 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 7
  • Publication Date: 2022
  • Doi Number: 10.55730/1300-0098.3292
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.2645-2662
  • Istanbul University Affiliated: Yes

Abstract

We introduce a certain type of warped-twisted product submanifolds which is called warped-twisted product hemislant submanifolds of the form f(2) M-perpendicular to x f(1) M-theta with warping function f(2) on M-theta and twisting function f(1), where M-perpendicular to is a totally real and M-theta is a slant submanifold of a globally conformal Kaehler manifold. We prove that a warped-twisted product hemislant submanifold of a globally conformal Kaehler manifold is a locally doubly warped product. Then we establish a general inequality for doubly warped product mixed geodesic hemislant submanifolds and get some results for such submanifolds by using the equality sign of the general inequality.