On Contact Lorentzian and Contact Pseudo-Riemannian Manifolds
Keywords:
Pseudo- sphere, Pseudo-hyperbolic space, manifolds, three-dimensional
Abstract
we introduce a systematic study contact Lorentzian Pseudo structures with Lorentzian Pseudo-metric manifolds and emphasizing analogies and differences with respect to the Lorentzian case. We investigate Pseudo- sphere and the Pseudo-hyperbolic space are the only simply connected Sasakian Lorentzian Pseudo-metric manifolds of constant sectional curvature and we classify contact Lorentzian pseudo-metric manifolds of constant sectional curvature of three-dimensional.References
- Abdelrahman, A. A., & Elhassan, A. E. A. (2021). Contact Lorentzian Manifolds of Constant Curvature and CR-Manifolds. Journal of Function Spaces.
- D. Perron(2003). Harmonic Characteristic vector fields On contact metric manifolds , Bull. Austral. Math. Soc.67 (2003)305-315.
- D.E. Blair(1977). Two Remarks on Contact metric Structures, Tˆohoku Math. J. 29 (1977) 319-324.
- D.E. Blair(2002). Riemannian Geometry of Contact and Symplectic Manifolds, Progr. Math. Birkh¨auser, Boston, 2002.
- D.E. Blair, D. Perrone(1998). Conformally Anosov flows in Contact metric Geometry, Balkan J. Geom. Appl. 3(1998) 33-46.
- G. Calvaruso(2011). Contact Lorentzian manifolds, Differential Geom. Appl.29(2011) 641-551 .
- G. Calvaruso, and D. Perrone(2010). Contact Pseudo manifolds, Differential Geom. Appl. 28(2010) 615-634.
- M. Hamed. A. Hamed, F. Massamba and S. Ssekajja(2019). On null submanifolds of generalized Robertson-Walker space forms, Turk. J. Math. 43 (2019), 1650-1667.
- Mohamed H. A. Hamed, Fortun’e Massamba and Samuel Ssekajja(2021). A Ricci type-Flow on Globally Null Manifolds and Its Gradient Estimates, Revista Dela Uni’on Matem’atica Argentina. Vol, . 62, No. 2, 2021, pages 327–349.
- Mohamed H. A. Hamed, Islam F. M. Osman, Mohammed B.A. Mohammad, Arafat Abdelhameed Abdelrahmann and Asmaa Eltayeb Ali Elhassan(2021). Contact Lorentzian Manifolds of Constant Curvature andCR-Manifolds, JFST,. Issue No. 8 (2021) 113 – 120.
- S. Dragomir, M. Hasan and F. Al-Solamy(2016). Geometry of Cauch-Riemann Submanifolds, Springer, 2016.
- S. Sasaki, Y. Hatakeyama(1961). On Differentiable manifolds with certain structures which are closely Related to almost contact structures, Tˆohoku Math. J. 13 (1961).
- S. Sasaki, Y. Hatakeyama(1962). On Differentiable manifolds with contact metric structures, J. Math. Soc. Japan 14 (1962).
- S. Tanno(1968). The Topology of contact Riemannain manifolds, Illinois J. Math. 12 (1968) 700-717.
- T. Takahashi(1969). Sasakian manifold with Pseudo-Riemannain metrics, Tˆohoku Math. J. 21 (1969) 271-290.
- Z. Olszak(1979). On contact metric manifolds, Tˆohoku Math. J. 31 (1979) 247-353.
- D. Perron(2003). Harmonic Characteristic vector fields On contact metric manifolds , Bull. Austral. Math. Soc.67 (2003)305-315.
- D.E. Blair(1977). Two Remarks on Contact metric Structures, Tˆohoku Math. J. 29 (1977) 319-324.
- D.E. Blair(2002). Riemannian Geometry of Contact and Symplectic Manifolds, Progr. Math. Birkh¨auser, Boston, 2002.
- D.E. Blair, D. Perrone(1998). Conformally Anosov flows in Contact metric Geometry, Balkan J. Geom. Appl. 3(1998) 33-46.
- G. Calvaruso(2011). Contact Lorentzian manifolds, Differential Geom. Appl.29(2011) 641-551 .
- G. Calvaruso, and D. Perrone(2010). Contact Pseudo manifolds, Differential Geom. Appl. 28(2010) 615-634.
- M. Hamed. A. Hamed, F. Massamba and S. Ssekajja(2019). On null submanifolds of generalized Robertson-Walker space forms, Turk. J. Math. 43 (2019), 1650-1667.
- Mohamed H. A. Hamed, Fortun’e Massamba and Samuel Ssekajja(2021). A Ricci type-Flow on Globally Null Manifolds and Its Gradient Estimates, Revista Dela Uni’on Matem’atica Argentina. Vol, . 62, No. 2, 2021, pages 327–349.
- Mohamed H. A. Hamed, Islam F. M. Osman, Mohammed B.A. Mohammad, Arafat Abdelhameed Abdelrahmann and Asmaa Eltayeb Ali Elhassan(2021). Contact Lorentzian Manifolds of Constant Curvature andCR-Manifolds, JFST,. Issue No. 8 (2021) 113 – 120.
- S. Dragomir, M. Hasan and F. Al-Solamy(2016). Geometry of Cauch-Riemann Submanifolds, Springer, 2016.
- S. Sasaki, Y. Hatakeyama(1961). On Differentiable manifolds with certain structures which are closely Related to almost contact structures, Tˆohoku Math. J. 13 (1961).
- S. Sasaki, Y. Hatakeyama(1962). On Differentiable manifolds with contact metric structures, J. Math. Soc. Japan 14 (1962).
- S. Tanno(1968). The Topology of contact Riemannain manifolds, Illinois J. Math. 12 (1968) 700-717.
- T. Takahashi(1969). Sasakian manifold with Pseudo-Riemannain metrics, Tˆohoku Math. J. 21 (1969) 271-290.
- Z. Olszak(1979). On contact metric manifolds, Tˆohoku Math. J. 31 (1979) 247-353.
Published
2025-09-21
How to Cite
Mohamed H. A. Hamed. (2025). On Contact Lorentzian and Contact Pseudo-Riemannian Manifolds. Journal of The Faculty of Science and Technology, 10(10), 59 - 70. https://doi.org/10.52981/jfst.v10i10.3404
Section
Articles
