Geometry of Bi-Warped Product Submanifolds of Nearly Trans-Sasakian Manifolds

Ali H. Alkhaldi and Akram Ali
Additional contact information
Ali H. Alkhaldi: Department of Mathematics, College of Science, King Khalid University, Abha 62529, Saudi Arabia
Akram Ali: Department of Mathematics, College of Science, King Khalid University, Abha 62529, Saudi Arabia

Mathematics, 2021, vol. 9, issue 8, 1-24

Abstract: In the present work, we consider two types of bi-warped product submanifolds, M = M T × f 1 M ? × f 2 M ? and M = M ? × f 1 M T × f 2 M ? , in nearly trans-Sasakian manifolds and construct inequalities for the squared norm of the second fundamental form. The main results here are a generalization of several previous results. We also design some applications, in view of mathematical physics, and obtain relations between the second fundamental form and the Dirichlet energy. The relationship between the eigenvalues and the second fundamental form is also established.

Keywords: geometric inequalities; nearly trans-sasakian; nearly sasakian; bi-warped products; dirichlet energy (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/8/847/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/8/847/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:8:p:847-:d:535096

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().