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zeta-Ricci Soliton on Real Hypersurfaces of Nearly Kaehler 6-Sphere with SSMC
- Bansal, Pooja;
- Shahid, Mohammad Hasan;
- Lee, Jae Won
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2초록
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.
키워드
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; HOPF HYPERSURFACES; LAGRANGIAN SUBMANIFOLDS; SPACE
- 제목
- zeta-Ricci Soliton on Real Hypersurfaces of Nearly Kaehler 6-Sphere with SSMC
- 저자
- Bansal, Pooja; Shahid, Mohammad Hasan; Lee, Jae Won
- 발행일
- 2021-03-21
- 유형
- Article
- 권
- 18
- 호
- 3