Two Dimensional null scrolls in R^n_1 and Massey's Theorem
Year 2009,
Volume: 2 Issue: 2, 58 - 62, 30.10.2009
Handan Öztekin
,
Mahmut Ergüt
Abstract
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)
References
- [1] Balgetir, H. Generalized Null Scrolls in the Lorentzian Space, PhD Thesis, Fırat University,
Turkey,2002.
- [2] Balgetir, H. and Ergüt, M., (n-1)-Dimensional Generalized Null Scrolls in Rn, Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, 19, 227-231,2003.
- [3] Duggal, K.L. and Bejancu, A., Lightlike Submanifolds of Semi-Riemannian Manifolds and Its
Applications, Kluwer,Dortrecht,1996.
- [4] Hicks, N., Notes On Differential Geometry, Van Nostrand, Princeton, N.J., U.S.A.,1963.
- [5] Keleş, S. and Kuruoğlu, N., Properties of 2-Dimensional Ruled Surfaces in the Euclidean n-
Space En and Massey’s Theorem, Communications, Faculty of Sciences University of Ankara, pp.
151-158., 1984.
- [6] O’Neill, B., Semi-Riemannian Geometry, Academic Press, New York, 1983.
- [7] Thas,C., Properties of Ruled Surfaces in the Euclidean Space En, Bull. Inst. Math. Academica
Sinica, Vol.6,1, 133-142, 1978.
Year 2009,
Volume: 2 Issue: 2, 58 - 62, 30.10.2009
Handan Öztekin
,
Mahmut Ergüt
References
- [1] Balgetir, H. Generalized Null Scrolls in the Lorentzian Space, PhD Thesis, Fırat University,
Turkey,2002.
- [2] Balgetir, H. and Ergüt, M., (n-1)-Dimensional Generalized Null Scrolls in Rn, Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, 19, 227-231,2003.
- [3] Duggal, K.L. and Bejancu, A., Lightlike Submanifolds of Semi-Riemannian Manifolds and Its
Applications, Kluwer,Dortrecht,1996.
- [4] Hicks, N., Notes On Differential Geometry, Van Nostrand, Princeton, N.J., U.S.A.,1963.
- [5] Keleş, S. and Kuruoğlu, N., Properties of 2-Dimensional Ruled Surfaces in the Euclidean n-
Space En and Massey’s Theorem, Communications, Faculty of Sciences University of Ankara, pp.
151-158., 1984.
- [6] O’Neill, B., Semi-Riemannian Geometry, Academic Press, New York, 1983.
- [7] Thas,C., Properties of Ruled Surfaces in the Euclidean Space En, Bull. Inst. Math. Academica
Sinica, Vol.6,1, 133-142, 1978.
There are 7 citations in total.