Araştırma Makalesi
SEMI-SYMMETRIC AND RICCI SEMI-SYMMETRIC LIGHTLIKE HYPERSURFACES OF AN INDEFINITE GENERALIZED SASAKIAN SPACE FORM
Öz
Anahtar Kelimeler
Degenerate metric lightlike hypersurfaces indefinite generalized Sasakian space form
Kaynakça
- [1] Abdalla, B. E., Dillen, F.: A Ricci semi-symmetric hypersurface of Euclidean space which is not semi-symmetric. Proc. Amer. Math. Soc. 130, 6, 1805-1808, (2002).
- [2] Alegre P., D. E. Blair and A. Carriazo: Generalized Sasakian space forms, Israel Journal of Mathematics 141(2004), 157-183.
- [3] Bejancu, A.: Null hypersurfaces of semi-Euclidean spaces, Saitama Math J. 14, 25-40, (1996).
- [4] Defever, F.: Ricci-semisymmetric hypersurfaces, Balkan J. of Geometry and its appl. 5, 1, 81-91, (2000).
- [5] Deprez, J.: Semi-parallel surfaces in Euclidean space, J. of Geometry, 25, 192-200, (1985).
- [6] Duggal, Krishan L. and Bejancu, A.: Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Kluwer Academic Publishers, Dordrecht, 1996.
- [7] Ludden, G. D.: Submanifolds of cosympletic manifolds, Journal of Differential Geometry 4 (1970), 237-244.
- [8] Kupeli, D.N.: Singular Semi-Riemannian Geometry, Kluwer Acad. Publishers, Dordrecht, 1996.
- [9] Matsuyama, Y.: Complete hypersurfaces with R.S = 0 in En+1, Proc. Amer. Math. Soc. 88, 119-123, (1983).
- [10] Nomizu, K.: On hypersurfaces satisfying a certain condition on the curvature tensor, Tohoku Math. J. 20, 46-59, (1986).
- [11] Ryan, P. J.: A class of complex hypersurfaces , Colloquium Math. 26, 175-182, (1972).
- [12] Sahin, B.: Lightlike hypersurfaces of semi-Euclidean spaces satisfying curvature conditions of semi-symmetry type, Turk. J. Math. 31, 139-162, (2007).
- [13] Szabo, Z.: Structure theorems on Riemannian spaces satisfying R(X, Y ).R = 0, the local version, J. Differential Geometry, 17, 531-582, (1982).
- [14] Tanno, S.: Hypersurfaces satisfying a certain condition on the Ricci tensor, Tohoku Math. J. 21, 297-303, (1969).
Yıl 2012,
Cilt: 5 Sayı: 1, 140 - 150, 30.04.2012
Öz
Kaynakça
- [1] Abdalla, B. E., Dillen, F.: A Ricci semi-symmetric hypersurface of Euclidean space which is not semi-symmetric. Proc. Amer. Math. Soc. 130, 6, 1805-1808, (2002).
- [2] Alegre P., D. E. Blair and A. Carriazo: Generalized Sasakian space forms, Israel Journal of Mathematics 141(2004), 157-183.
- [3] Bejancu, A.: Null hypersurfaces of semi-Euclidean spaces, Saitama Math J. 14, 25-40, (1996).
- [4] Defever, F.: Ricci-semisymmetric hypersurfaces, Balkan J. of Geometry and its appl. 5, 1, 81-91, (2000).
- [5] Deprez, J.: Semi-parallel surfaces in Euclidean space, J. of Geometry, 25, 192-200, (1985).
- [6] Duggal, Krishan L. and Bejancu, A.: Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Kluwer Academic Publishers, Dordrecht, 1996.
- [7] Ludden, G. D.: Submanifolds of cosympletic manifolds, Journal of Differential Geometry 4 (1970), 237-244.
- [8] Kupeli, D.N.: Singular Semi-Riemannian Geometry, Kluwer Acad. Publishers, Dordrecht, 1996.
- [9] Matsuyama, Y.: Complete hypersurfaces with R.S = 0 in En+1, Proc. Amer. Math. Soc. 88, 119-123, (1983).
- [10] Nomizu, K.: On hypersurfaces satisfying a certain condition on the curvature tensor, Tohoku Math. J. 20, 46-59, (1986).
- [11] Ryan, P. J.: A class of complex hypersurfaces , Colloquium Math. 26, 175-182, (1972).
- [12] Sahin, B.: Lightlike hypersurfaces of semi-Euclidean spaces satisfying curvature conditions of semi-symmetry type, Turk. J. Math. 31, 139-162, (2007).
- [13] Szabo, Z.: Structure theorems on Riemannian spaces satisfying R(X, Y ).R = 0, the local version, J. Differential Geometry, 17, 531-582, (1982).
- [14] Tanno, S.: Hypersurfaces satisfying a certain condition on the Ricci tensor, Tohoku Math. J. 21, 297-303, (1969).
Toplam 14 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Araştırma Makalesi |
| Yazarlar | |
| Yayımlanma Tarihi | 30 Nisan 2012 |
| Yayımlandığı Sayı | Yıl 2012 Cilt: 5 Sayı: 1 |