논문KCI 등재
Generic lightlike submanifolds of an indefinite trans-Sasakian manifold with an $(\ell, m)$-type metric connection
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
We study generic lightlike submanifolds $M$ of an indefinite trans-Sasakian manifold $\bar{M}$ or an indefinite generalized Sasakian space form $\bar{M}(f_1, f_2, f_3)$ endowed with an $(\ell, m)$-type metric connection subject such that the structure vector field $\zeta$ of $\bar{M}$ is tangent to $M$.
Abstract
We study generic lightlike submanifolds $M$ of an indefinite trans-Sasakian manifold $\bar{M}$ or an indefinite generalized Sasakian space form $\bar{M}(f_1, f_2, f_3)$ endowed with an $(\ell, m)$-type metric connection subject such that the structure vector field $\zeta$ of $\bar{M}$ is tangent to $M$.
참고문헌 (16)
- P. Alegre, "Generalized Sasakian-space-forms", Israel J. Math, 141, pp.157~183 (2004)
- C. Calin, "Contributions to geometry of CR-submanifold", pp.1998
- G. de Rham, "Sur la reductibilite d'un espace de Riemann", Comment. Math. Helv, 26, pp.328~344 (1952)
- K. L. Duggal, "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Academic Publishers Group
- K. L. Duggal, "Generic lightlike submanifolds of an indenite Sasakian manifold", Int. Electron. J. Geom, 5(1), pp.108~119 (2012)
- H. A. Hayden, "Sub-spaces of a space with torsion", Proc. London Math. Soc. (2), 34(1), pp.27~50 (1932)
- 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 indenite trans-Sasakian manifold of a quasi-constant curvature", Appl. Math. Sci, 9(60), pp.2985~2997 (2015)
- D. H. Jin, "Lightlike hypersurfaces of an indenite trans-Sasakian manifold with an(`; m)-type metric connection", Far East J. Math. Sci, 103(8), pp.1323~1343 (2018)
- D. H. Jin, "Generic lightlike submanifolds of an indenite cosymplectic manifold", Math. Probl. Eng, pp.610986~ (2011)
- D. H. Jin, "Half lightlike submanifolds of a semi-Riemannian manifold of quasi-constant curvature", Filomat, 30(7), pp.1737~1745 (2016)
- D. H. Jin, "Generic lightlike submanifolds of an indenite Kaehler manifold", Inter. J. Pure Appl. Math, 101(4), pp.543~560 (2015)
- D. N. Kupeli, "Singular Semi-Riemannian Geometry" (1996), Kluwer Academic Publishers Group
- J. A. Oubina, "New classes of almost contact metric structures", Publ. Math. Debrecen, 32(3-4), pp.187~193 (1985)
- K. Yano, "On semi-symmetric metric connection", Rev. Roumaine Math. Pures Appl, 15, pp.1579~1586 (1970)
- K. Yano, "Quarter-symmetric metric connections and their curvature ten-sors", Tensor (N.S.), 38, pp.13~18 (1982)
관련 논문AI추천
Generic lightlike submanifolds of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection진대호대한수학회 · 대한수학회보2017 · 제54권 제3호Generic lightlike submanifolds of an indefinite trans-Sasakian manifold with a non-symmetric non-metric connection of type $(\ell, m)$이재원, 이철우대한수학회 · 대한수학회논문집2020 · 제35권 제4호Lightlike hypersurfaces of an indefinite trans-Sasakian manifold with an $(\ell,\,m)$-type connection진대호대한수학회 · 대한수학회지2018 · 제55권 제5호Indefinite generalized Sasakian space form admitting a generic lightlike submanifold진대호대한수학회 · 대한수학회보2014 · 제51권 제6호Lightlike Hypersurfaces of an Indefinite Nearly Trans-Sasakian Manifold with an (l,m)-type Connection이재원, 이철우경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제2호Lightlike hypersurfaces of an indefinite trans-Sasakian manifold with a non-metric $\phi$-symmetric connection진대호대한수학회 · 대한수학회보2016 · 제53권 제6호
이 간행물의 다른 논문 (27건)
Archimedean skew generalized power series ringsFarzad Padashnik, Kamal Paykan, Ahmad Moussavipp. 361-374Bracket functions on groupoidsJoseph Neggers, HEE SIK KIM, Paul J. Allenpp. 375-381Some properties of special polynomials with exponential distributionTai Sup Lee, 강정욱pp. 383-390Chromatic number of the zero-divisor graphs over modulesRezvan Varmazyar, Sang Cheol Leepp. 391-399Leonard pairs of Racah and Krawtchouk type in LB-TD formHasan Alnajjarpp. 401-414