ON PARALLELISM OF ASCREEN HALF LIGHTLIKE SUBMANIFOLDS OF INDEFINITE COSYMPLECTIC MANIFOLDS

Yıl 2013, Cilt: 6 Sayı: 2, 70 - 78, 30.10.2013

Wenjie Wang Ximin Lıu

Öz

Anahtar Kelimeler

Ascreen half lightlike submanifold, indefinite cosymplectic manifold, semi-parallel, parallel, second fundamental form

Kaynakça

• [1] Deprez, J., Semi-parallel surfaces in Euclidean space, J. Geom., 25 (1985), 192-200.
• [2] Duggal, K.L. and Bejancu, A., Lightlike submanifolds of codimensional two, Math. J. Toyama Univ., 15 (1992), 59-82.
• [3] Duggal, K.L. and Bejancu, A., Lightlike submainfolds of semi-Riemannian mainfolds and applications, Kluer Academic Publishers, Dordrecht, 1996.
• [4] Duggal, K.L. and Jin, D.H., Half lightlike submanifolds of codimensional 2, Math. J. Toyama Univ., 22 (1999), 121-161.
• [5] Duggal, K.L. and Jin, D.H., Null curves and hypersurfaces of semi-Riemannian manifolds, World Scientific, Hackensack NJ, 2007.
• [6] Duggal, K.L. and Sahin, B., Differential geometry of lightlike submanifolds, Birkh¨auser Ver- alag AG, Basel, Boston, Berlin, 2010.
• [7] Ferus, D.,Immersions with parallel second fundamental form, Math. Z., 140 (1974), 93-103.
• [8] Jin, D.H., Special half lightlike submanifolds of an indefinite Sasakian manifolds, to appear.
• [9] Jin, D.H., Special half lightlike submanifolds of an indefinite cosymplectic manifolds, J. Funct. Spaces Appl., Volume 2012, Article ID 632624, 16 pages.
• [10] Jin, D.H. and Lee, J.W., Generic lightlike submanifolds of an indefinite cosymplectic mani- folds, Math. Probl. Eng., Volume 2011, Article ID 610986, 16 pages.
• [11] Kupeli, D.N., Singular semi-Riemnnian Geometry, Mathematics and Its Applications, Kluwer Academic Publishers, Dordrecht, 1996.
• [12] Massamba, F., Semi-Parallel lightlike hypersurfaces of indefinite Sasakian manifolds, Int. J. Contemp. Math. Sci., 3 (2008), 629-634.
• [13] Massamba, F., Lightlike hypersurfaces of indefinite Sasakian manifolds with parallel symmet- ric bilinear forms, Differ. Geom. Dyn. Syst., 10 (2008), 226-234.
• [14] Massamba, F., On semi-parallel lightlike hypersurfaces of indefinite Kenmotsu manifolds, J. Geom., 95 (2009), 73-89.
• [15] Upadhyay, A. and Gupta, R.S., Semi-parallel lightlike hypersurfaces of indefinite cosymplectic space forms, Publ. Inst. Math. (Beograd) (N.S.), 89 (2011), 69-75.
• [16] Wang, W.J. and Liu, X.M., On Parallelism of half-Lightlike submanifolds of indefinite Ken- motsu manifolds, Geom., Volume 2013, Article ID 615819, 6 pages.