Research Article
Year 2017,
Volume: 5 Issue: 3, 253 - 261, 01.07.2017
Abstract
In this paper, we investigate geometric properties of some curvature tensors of a four-dimensional Walker manifold. Some characterization theorems are also obtained.
References
- Banyaga A,Massamba F (2016) Non-existence of certain Einstein metrics on some symplectic manifolds, Forum Math 28(3):527- 537.
- Brozos-Vazquez M, Garcia-Rio E, Gilkey P, Nikevic S, Vazquez-Lorenzo R (2009) The Geometry of Walker Manifolds. Synthesis Lectures on Mathematics and Statistics, 5. (Morgan and Claypool Publishers, Williston, VT).
- Chaichi M, Garcia-Rio E, Matsushita Y (2005) Curvature properties of four-dimensional Walker metrics. Classical Quantum Gravity 22:559-577.
- Garcia-Rio E, Haze S, Katayama N, Matsushita Y (2008) Symplectic, Hermitian and Kahler structures on Walker 4-Manifolds. J. Geom. 90: 56-65.
- S. I. Goldberg, Integrability of almost Kahler manifolds, Proc. Amer. Math. Soc. 21 (1969).
- Matsushita Y, (2004) Four-dimensional Walker metrics and symplectic structure. J. Geom. Phys. 52: 89-99.
- Matsushita Y, (2005) Walker 4-Manifolds with Proper Almost Complex Structure. J. Geom. Phys. 55: 385-398.
- Nadjafikhah M, Jafari M (2013) Some general new Einstein Walker manifolds. Adv Math Phys, Art. ID 591852, 8 pp.
- K. Sekigawa, On some compact Einstein almost Kahler manifolds, J. Math. Soc. Japan, 39 (1987), nˆA◦ 4, 677-684.
- Walker AG (1950) Canonical form for a Riemannian space with a parallel field of null planes. Quart J Math Oxford 1(2): 69-79.
Year 2017,
Volume: 5 Issue: 3, 253 - 261, 01.07.2017
Abstract
References
- Banyaga A,Massamba F (2016) Non-existence of certain Einstein metrics on some symplectic manifolds, Forum Math 28(3):527- 537.
- Brozos-Vazquez M, Garcia-Rio E, Gilkey P, Nikevic S, Vazquez-Lorenzo R (2009) The Geometry of Walker Manifolds. Synthesis Lectures on Mathematics and Statistics, 5. (Morgan and Claypool Publishers, Williston, VT).
- Chaichi M, Garcia-Rio E, Matsushita Y (2005) Curvature properties of four-dimensional Walker metrics. Classical Quantum Gravity 22:559-577.
- Garcia-Rio E, Haze S, Katayama N, Matsushita Y (2008) Symplectic, Hermitian and Kahler structures on Walker 4-Manifolds. J. Geom. 90: 56-65.
- S. I. Goldberg, Integrability of almost Kahler manifolds, Proc. Amer. Math. Soc. 21 (1969).
- Matsushita Y, (2004) Four-dimensional Walker metrics and symplectic structure. J. Geom. Phys. 52: 89-99.
- Matsushita Y, (2005) Walker 4-Manifolds with Proper Almost Complex Structure. J. Geom. Phys. 55: 385-398.
- Nadjafikhah M, Jafari M (2013) Some general new Einstein Walker manifolds. Adv Math Phys, Art. ID 591852, 8 pp.
- K. Sekigawa, On some compact Einstein almost Kahler manifolds, J. Math. Soc. Japan, 39 (1987), nˆA◦ 4, 677-684.
- Walker AG (1950) Canonical form for a Riemannian space with a parallel field of null planes. Quart J Math Oxford 1(2): 69-79.
There are 10 citations in total.
Details
| Primary Language | English |
|---|---|
| Journal Section | Articles |
| Authors | |
| Publication Date | July 1, 2017 |
| Published in Issue | Year 2017 Volume: 5 Issue: 3 |
