GENERIC LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD WITH A NON-METRIC Φ-SYMMETRIC CONNECTION
1
조회
0
다운로드
1
인용
0
참고문헌
키워드
초록
The notion of a {\it non-metric $\phi$-symmetric connection} on semi-Riemannian manifolds was introduced by Jin \cite{Jin4, Jin5}. The object of study in this paper is generic lightlike submanifolds of an indefinite Kaehler manifold $\bar{M}$ with a non-metric $\phi$-symmetric connection. First, we provide several new results for such generic lightlike submanifolds. Next, we investigate generic lightlike submanifolds of an indefinite complex space form $\bar{M}(c)$ with a non-metric $\phi$-symmetric connection.
Abstract
The notion of a {\it non-metric $\phi$-symmetric connection} on semi-Riemannian manifolds was introduced by Jin \cite{Jin4, Jin5}. The object of study in this paper is generic lightlike submanifolds of an indefinite Kaehler manifold $\bar{M}$ with a non-metric $\phi$-symmetric connection. First, we provide several new results for such generic lightlike submanifolds. Next, we investigate generic lightlike submanifolds of an indefinite complex space form $\bar{M}(c)$ with a non-metric $\phi$-symmetric connection.
참고문헌 (10)
- G. de Rham, "Sur la réductibilité d'un espace de Riemannian", Comm. Math. Helv, 26, pp.328~344 (1952)
- K. L. Duggal, "Generic lightlike submanifolds of an indefinite Sasakian manifold", Int. Electron. J. Geom, 5(1), pp.109~119 (2012)
- 진대호, "Indefinite generalized Sasakian space form admitting a generic lightlike submanifold", 대한수학회보, 51(6), pp.1711~1726 (2014), 대한수학회
- D. H. Jin, "Generic lightlike submanifolds of an indefinite trans-Sasakian manifold of a quasi-constant curvature", Appl. Math. Sci, 9(60), pp.2985~2997 (2015)
- D. H. Jin, "Special lightlike hypersurfaces of indefinite Kaehler manifolds", Filomat, 30(7), pp.1919~1930 (2016)
- 진대호, "Lightlike hypersurfaces of an indefinite Kaehler manifold with a non-metric Φ-symmetric connection", 대한수학회보, 54(2), pp.619~632 (2017), 대한수학회
- 진대호, "Lightlike hypersurfaces of an indefinite trans-Sasakian manifold with a non-metric $\phi$-symmetric connection", 대한수학회보, 53(6), pp.1771~1783 (2016), 대한수학회
- D. H. Jin, "Generic lightlike submanifolds of an indefinite cosymplectic manifold", Math. Probl. Eng, 2011, pp.1~16 (2011)
- D. H. Jin, "Generic lightlike submanifolds of an indefinite Kaehler manifold", Int. J. Pure Appl. Math, 101(4), pp.543~560 (2015)
- D. N. Kupeli, "Singular Semi-Riemannian Geometry", pp.366~ (1996), Kluwer Academic