Browse > Article
http://dx.doi.org/10.5666/KMJ.2014.54.4.667

Slant Submanifolds of (LCS)n-manifolds  

Shukla, Shiv Sharma (Department of Mathematics, University of Allahabad)
Shukla, Mukesh Kumar (Department of Mathematics, University of Allahabad)
Prasad, Rajendra (Department of Mathematics and Astronomy, University of Lucknow)
Publication Information
Kyungpook Mathematical Journal / v.54, no.4, 2014 , pp. 667-676 More about this Journal
Abstract
In this article, we study slant and semi-slant submanifolds of $(LCS)_n$-manifolds. Integrability conditions of distributions involved in definition of semi-slant submanifolds of a $(LCS)_n$-manifold have been obtained.
Keywords
$(LCS)_n$-manifold; slant submanifold; semi-slant submanifold;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
1 M. Atceken, On geometry of submanifolds of $(LCS)_n$-manifolds , Int. J. Math. and Math. Sci., (2012), 1-11.
2 D. E. Blair, Contact manifolds in Riemannian geometry, Lecture Notes in Math. 509, Springer-Verlag, New York, 1976.
3 A. Bejancu, N. Papaghiuc, Semi-invariant submanifolds of a Sasakian manifold, An. Stiint. Univ., "Al, I. Cuza" Iasi. 27(1981), 163-170.
4 B. Y. Chen, Geometry of slant submanifolds, Katholieke Universiteit Leuven, 1990.
5 J. L. Cabrerizo, A. Carriazo, L. M. Fernandez, M. Fernandez, Semi-slant submanifolds of a Sasakian manifold, Geom. Dedicata, 78(2)(1999), 183-199.   DOI
6 J. L. Cabrerizo, A. Carriazo, L. M. Fernandez, M. Fernandez, Slant submanifolds in Sasakian manifolds, Glasgow Math. J., 42(1)(2000), 125-138.   DOI
7 U. C. De, A. A. Shaikh, Non-existence of proper semi-invariant submanifolds of a Lorentzian para-Sasakian manifold, Bull. Malays. Math. Soc., 22(2)(1999), 179-183.
8 U. C. De, A. A. Shaikh, A. Sengupta, On LP-Sasakian manifolds with a coefficient ${\alpha}$, Kyungpook Math. J., 42(2002), 177-186.   과학기술학회마을
9 U. C. De, A. A. Aqeel, A. A. Shaikh, Submanifolds of a Lorentzian para-Sasakian manifold, Bull. Malays. Math. Soc., 28(2)(2005), 223-227.
10 R. S. Gupta, S. M. Khursheed Haider, M. H. Shahid, Slant submanifolds of a Kenmotsu manifold, Radovi Matematicki, 12(2004), 205-214.
11 S. K. Hui, M. Atceken, Contact warped product semi-slant submanifolds of $(LCS)_n$-manifolds , Acta Univ. Sapientiae, Mathematica, 3(2)(2011), 212-224.
12 M. Kon, Remarks on anti-invariant submanifolds of a Sasakian manifold, Tensor, (N. S.) 30(1976), 239-245.
13 Kalpana, G. Guha, Semi-invariant submanifolds of a Lorentzian para-Sasakian manifold , Ganit, J. Bangladesh Math. Soc., 13(1993), 71-76.
14 V. A. Khan, M. A. Khan, Semi-slant submanifolds of trans-Sasakian manifolds, Sarajevo J. Math., 2(14)(2006), 83-93.
15 V. A. Khan, M. A. Khan, K. A. Khan, Slant and semi-slant submanifolds of Kenmotsu manifold, Mathematica Slovaca, 57(5)(2007), 483-494.
16 A. Lotta, Slant submanifolds in contact geometry, Bull. Math. Soc. Roumanie, 39(1996), 183-198.
17 A. Lotta, Three dimensional slant submanifolds of K-contact manifolds, Balkan J. Geom. Appl., 3(1)(1998), 37-51.
18 K. Matsumoto, On Lorentzian almost para-contact manifolds, Bull. of Yamagata Univ. Nat. Sci., 12(1989), 151-156.
19 S. Prasad, R. H. Ojha, Lorentzian para-contact submanifolds, Publ. Math. Debrecen, 44(1994), 215-223.
20 N. Papaghiuc, Semi-slant submanifolds of Kahlerian manifold, An. Stiint. Univ., "Al, I. Cuza" Iasi., 9(1994), 55-61.
21 B. Prasad, Semi-invariant submanifolds of a Lorentzian para-Sasakian manifold, Bull. Malays. Math. Soc., 21(2)(1998), 21-26.
22 A. A. Shaikh, On Lorentzian almost para-contact manifolds with a structure of the concircular type, Kyungpook Math. J., 43(2003), 305-314.   과학기술학회마을
23 A. A. Shaikh, Some results on $(LCS)_n$-manifolds, J. Korean Math. Soc., 46(3)(2009), 449-461.   DOI   ScienceOn
24 A. A. Shaikh, K. K. Baishya, On concircular structure spacetimes, J. Math. and Stat., 1(2005), 129-132.   DOI
25 A. A. Shaikh, K. K. Baishya, On concircular structure spacetimes II, Amer. J. Appl. Sci., 3(4)(2006), 1790-1794.   DOI   ScienceOn
26 A. A. Shaikh, T. Basu, S. Eyasmin, On the existence of ${\phi}$-recurrent $(LCS)_n$-manifolds, Extracta Mathematicae, 23(1)(2008), 71-83.