Statical half lightlike submanifolds of an indefinite Kaehler manifold of a quasi-constant curvature
2
조회
0
다운로드
1
인용
0
참고문헌
키워드
초록
In this paper, we study half lightlike submanifolds $M$ of an indefinite Kaehler manifold $\bar{M}$ of quasi-constant curvature such that the characteristic vector field $\zeta$ of $\bar{M}$ is tangent to $M$. First, we provide a new result for such a half lightlike submanifold. Next, we investigate a statical half lightlike submanifold $M$ of $\bar{M}$ subject such that (1) the screen distribution $S(TM)$ is totally umbilical or (2) $M$ is screen conformal.
Abstract
In this paper, we study half lightlike submanifolds $M$ of an indefinite Kaehler manifold $\bar{M}$ of quasi-constant curvature such that the characteristic vector field $\zeta$ of $\bar{M}$ is tangent to $M$. First, we provide a new result for such a half lightlike submanifold. Next, we investigate a statical half lightlike submanifold $M$ of $\bar{M}$ subject such that (1) the screen distribution $S(TM)$ is totally umbilical or (2) $M$ is screen conformal.
참고문헌 (14)
- B. Y. Chen, "Geometry of Submanifolds" (1973), Marcel Dekker
- B. Y. Chen, "Hypersurfaces of a conformally flat space", Tensor (N. S.), 26, pp.318~322 (1972)
- G. de Rham, "Sur la reductibilite dun espace de Riemannian", Comm. Math. Helv, 26, pp.328~344 (1952)
- K. L. Duggal, "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Kluwer Acad. Publishers
- K. L. Duggal, "Half-lightlike submanifolds of codimension 2", Math. J. Toyama Univ, 22, pp.121~161 (1999)
- 진대호, "A CHARACTERIZATION OF SCREEN CONFORMAL HALF LIGHTLIKE SUBMANIFOLDS", 호남수학학술지, 31(1), pp.17~23 (2009), 호남수학회
- 진대호, "GEOMETRY OF SCREEN CONFORMAL REAL HALF LIGHTLIKE SUBMANIFOLDS", 대한수학회보, 47(4), pp.701~714 (2010), 대한수학회
- 진대호, "REAL HALF LIGHTLIKE SUBMANIFOLDS WITH TOTALLY UMBILICAL PROPERTIES", 순수 및 응용수학, 17(1), pp.51~63 (2010), 한국수학교육학회
- 진대호, "TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD", 순수 및 응용수학, 18(1), pp.51~61 (2011), 한국수학교육학회
- 진대호, "HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD", 순수 및 응용수학, 18(2), pp.173~183 (2011), 한국수학교육학회
- 진대호, "A semi-Riemannian manifold of quasi-constant curvature admits some half lightlike submanifolds", 대한수학회보, 50(3), pp.1041~1048 (2013), 대한수학회
- D. H. Jin, "A semi-Riemannian manifold of quasi-constant curvature admits statical half lightlike submanifolds", Hacettepe Journal of Mathematics and Statistics
- D. H. Jin, "A semi-Riemannian manifold of quasi-constant curvature admits some lightlike submanifolds", International Journal of Mathematical Analysis
- D. N. Kupeli, "Singular Semi-Riemannian Geometry, Mathematics and Its Applications" (1996), Kluwer Acad. Publishers