Geometric Properties of Potent CR-Submanifolds
In this paper, we propose and explore the notion of potent CR-submanifolds (PCRSs) within the framework of almost Hermitian potent manifolds (AHPMs). We examine several fundamental geometric properties of such submanifolds and establish a variety of noteworthy results concerning totally umbilical CR-submanifolds. Finally, an explicit example of a PCRS is constructed to demonstrate the existence of such submanifolds in AHPMs.
Authors
- Abdul Haseeb (ORCID: https://orcid.org/0000-0002-1175-6423)
- Rajendra Prasad (ORCID: https://orcid.org/0000-0002-7502-0239)
- Abhinav Verma (ORCID: https://orcid.org/0009-0004-7998-5224)
- Najwa Mohammed Al-Asmari (ORCID: https://orcid.org/0009-0000-6726-6135)
Institutions
- University of Lucknow (IN)
- King Khalid University (SA)
- Jazan University (SA)
Publication Details
- Journal
- Mathematics
- Published
- 2026-09-21
- DOI
- https://doi.org/10.3390/math14183417
- Primary Topic
- Geometry and complex manifolds
- Type
- article
- Field-Weighted Citation Impact
- 0.00