Weak Nearly \({\mathcal S}\)- and Weak Nearly \({\mathcal C}\)-Manifolds

Vladimir Rovenski ()
Additional contact information
Vladimir Rovenski: Department of Mathematics, University of Haifa, Haifa 3498838, Israel

Mathematics, 2025, vol. 13, issue 19, 1-13

Abstract: The recent interest in geometers in the f -structures of K. Yano is motivated by the study of the dynamics of contact foliations, as well as their applications in theoretical physics. Weak metric f -structures on a smooth manifold, recently introduced by the author and R. Wolak, open a new perspective on the theory of classical structures. In this paper, we define structures of this kind, called weak nearly S - and weak nearly C -structures, study their geometry, e.g., their relations to Killing vector fields, and characterize weak nearly S - and weak nearly C -submanifolds in a weak nearly Kähler manifold.

Keywords: weak nearly S-manifold; weak nearly C-manifold; Killing vector field; submanifold; weak nearly Kähler manifold (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/13/19/3169/pdf (application/pdf)
https://www.mdpi.com/2227-7390/13/19/3169/ (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:13:y:2025:i:19:p:3169-:d:1764251

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 ().