zeta-Ricci Soliton on Real Hypersurfaces of Nearly Kaehler 6-Sphere with SSMC
- Authors
- Bansal, Pooja; Shahid, Mohammad Hasan; Lee, Jae Won
- Issue Date
- 21-Mar-2021
- Publisher
- SPRINGER BASEL AG
- Keywords
- Nearly Kaehler < mml:msup> S< mml:mn> 6< /mml:mn> < /mml:msup> ; real hypersurface; semi-symmetric metric connection; zeta-Ricci soliton; Primary 53C15; Secondary 53B25
- Citation
- MEDITERRANEAN JOURNAL OF MATHEMATICS, v.18, no.3
- Indexed
- SCIE
SCOPUS
- Journal Title
- MEDITERRANEAN JOURNAL OF MATHEMATICS
- Volume
- 18
- Number
- 3
- URI
- https://scholarworks.bwise.kr/gnu/handle/sw.gnu/3955
- DOI
- 10.1007/s00009-021-01734-4
- ISSN
- 1660-5446
- Abstract
- The main intention of this paper is to study the real hypersurfaces in nearly Kaehler S6 endowed with a semi-symmetric metric connection. We characterize the real hypersurfaces of the nearly Kaehler S6 admitting semi-symmetric metric connection, and investigate the curvature properties of these submanifolds. Moreover, it is shown that a real hypersurface is congruent to an open segment of a totally-geodesic hypersphere or a tube over an almost complex curve in S6 if such a connected real hypersurface of nearly Kaehler S6 is an zeta -Ricci soliton with the potential vector field xi.
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