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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2021.10
- 수록면
- 817 - 827 (11page)
- DOI
- 10.4134/CKMS.c200349
이용수
초록· 키워드
오류제보하기
In this paper, we prove that a diffeomorphism $f$ on a normal almost contact $3$-manifold $M$ is a CRL-{\it transformation} if and only if $M$ is an $\alpha$-Sasakian manifold. Moreover, we show that a $CR$-loxodrome in an $\alpha$-Sasakian $3$-manifold is a pseudo-Hermitian magnetic curve with a strength $q=\widetilde{r}\eta(\gamma')=(r+\alpha-t)\eta(\gamma')$ for constant $\eta(\gamma')$. A non-geodesic $CR$-loxodrome is a non-Legendre slant helix. Next, we prove that let $M$ be an $\alpha$-Sasakian $3$-manifold such that $(\nabla_Y S)X=0$ for vector fields $Y$ to be orthogonal to $\xi$, then the Ricci tensor $\rho$ satisfies $\rho=2\alpha^2 g$. Moreover, using the CRL-{\it transformation} $\widetilde{\nabla}^t$ we fine the pseudo-Hermitian curvature $\widetilde{R}$, the pseudo-Ricci tensor $\widetilde{\rho}$ and the torsion tensor field $ \widetilde{ \mathfrak{T}}^{t} (\widetilde{S}X,Y)$.
목차
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참고문헌 (13)
참고문헌 신청
Falleh Al-Solamy / 2011 / On η-Einstein Trans-Sasakian Manifolds / Annals of the Alexandru Ioan Cuza University - Mathematics 57(2):417~440
J. T. Cho / 1995 / On some classes of almost contact metric manifolds / Tsukuba J. Math 19(1):201~217
J. T. Cho / 2004 / Geometry of CR-manifolds of contact type / Proceedings of the Eighth International Workshop on Differential Geometry :137~155
S. G¨uven¸c / 2020 / On pseudo-Hermitian magnetic curves in Sasakian manifolds
J. Inoguchi / 2015 / Slant curves in 3-dimensional almost contact metric geometry / Int. Electron. J. Geom 8(2,):106~146
J. T. Cho / 1995 / On some classes of almost contact metric manifolds / Tsukuba J. Math 19(1):201~217
J. T. Cho / 2004 / Geometry of CR-manifolds of contact type / Proceedings of the Eighth International Workshop on Differential Geometry :137~155
S. G¨uven¸c / 2020 / On pseudo-Hermitian magnetic curves in Sasakian manifolds
J. Inoguchi / 2015 / Slant curves in 3-dimensional almost contact metric geometry / Int. Electron. J. Geom 8(2,):106~146
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