Construction of the Null Scrolls along Lightlike Submanifolds in R^{m+n}_v

Year 2017, , 31 - 38, 30.04.2017

Gül Tuğ F. Nejat Ekmekci

https://doi.org/10.36890/iejg.584438

Cited By: 1

Abstract

Keywords

Lightlike submanifold, null scroll, second fundamental form

References

• [1] Balgetir, H. and Ergüt, M., Generalized null scrolls in the n-dimensional Lorentzian space. Act. Math. Vietn., 2 (2004), 205-216.
• [2] Balgetir, H. and Ergüt, M., (n − 1)-dimensional generalized null scrolls in Rn. Acta Math. Aca. Pae. Nyir., 19 (2003), 227-231.
• [3] Duggal, K. and Bejancu, A., Lightlike Submanifolds Of Semi-Riemannian Manifolds and Applications. Math. and Its App., 1996.
• [4] Duggal, K. and S¸ ahin, B., Differential Geometry Of Lightlike Submanifolds. Birk. Ver. AG., 2010.
• [5] Izumiya, S. and Sato, T., Lightlike hypersurfaces along spacelike submanifolds in Minowski space-time. Journal of Geometry and Physics, 71 (2013), 3052.
• [6] Graves, L. K., Codimension one isometric immersions between Lorentz spaces. Trans. of The Amer. Math. Soc., 252 (1979), 367392.
• [7] Güner, G. and Ekmekci, N., On the special curves in Minkowski 4 spacetime. Math. Aeterna, 4 (2014), 863-867.
• [8] Kim, Y. H. and Yoon, D. W., Classification of ruled surfaces in Minkowski 3-spaces. Journal of Geometry and Physics, 49 (2004), 89-100.
• [9] O’Neill, B., Semi Riemannian Geometry With Applications To Relativity. Academic Press, 1983.
• [10] Pak, J. S. and Yoon, D. W., On null scrolls satisfying the condition ∆H = AH. Comm. Korean Math. Soc. 3 (2000), 533-540.