Turkish Journal of Mathematics
Abstract
We introduce a certain type of warped-twisted product submanifolds which is called warped-twisted product hemislant submanifolds of the form $_{f_2}M^{\bot}\times_{f_1}M^{\theta}$ with warping function $f_2$ on $M^\theta$ and twisting function $f_1$, where $M^\bot$ 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.
DOI
10.55730/1300-0098.3292
Keywords
Twisted product, warped product, totally real distribution, slant distribution, hemislant submanifold, globally conformal Kaehler manifold
First Page
2645
Last Page
2662
Recommended Citation
AYDIN, SİBEL GERDAN and TAŞTAN, HAKAN METE
(2022)
"On a certain type of warped-twisted product submanifolds,"
Turkish Journal of Mathematics: Vol. 46:
No.
7, Article 6.
https://doi.org/10.55730/1300-0098.3292
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss7/6
