Research Article

Some properties of four-dimensional Walker manifolds

Volume: 5 Number: 3 July 1, 2017
EN

Some properties of four-dimensional Walker manifolds

Abstract

In this paper, we investigate geometric properties of some curvature tensors of a four-dimensional Walker manifold. Some characterization theorems are also obtained.

Keywords

References

  1. Banyaga A,Massamba F (2016) Non-existence of certain Einstein metrics on some symplectic manifolds, Forum Math 28(3):527- 537.
  2. 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).
  3. Chaichi M, Garcia-Rio E, Matsushita Y (2005) Curvature properties of four-dimensional Walker metrics. Classical Quantum Gravity 22:559-577.
  4. Garcia-Rio E, Haze S, Katayama N, Matsushita Y (2008) Symplectic, Hermitian and Kahler structures on Walker 4-Manifolds. J. Geom. 90: 56-65.
  5. S. I. Goldberg, Integrability of almost Kahler manifolds, Proc. Amer. Math. Soc. 21 (1969).
  6. Matsushita Y, (2004) Four-dimensional Walker metrics and symplectic structure. J. Geom. Phys. 52: 89-99.
  7. Matsushita Y, (2005) Walker 4-Manifolds with Proper Almost Complex Structure. J. Geom. Phys. 55: 385-398.
  8. Nadjafikhah M, Jafari M (2013) Some general new Einstein Walker manifolds. Adv Math Phys, Art. ID 591852, 8 pp.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Fortune Massamba This is me
South Africa

Publication Date

July 1, 2017

Submission Date

December 29, 2016

Acceptance Date

April 12, 2017

Published in Issue

Year 2017 Volume: 5 Number: 3

APA
Diallo, A. S., & Massamba, F. (2017). Some properties of four-dimensional Walker manifolds. New Trends in Mathematical Sciences, 5(3), 253-261. https://izlik.org/JA76PL29AY
AMA
1.Diallo AS, Massamba F. Some properties of four-dimensional Walker manifolds. New Trends in Mathematical Sciences. 2017;5(3):253-261. https://izlik.org/JA76PL29AY
Chicago
Diallo, Abdoul Salam, and Fortune Massamba. 2017. “Some Properties of Four-Dimensional Walker Manifolds”. New Trends in Mathematical Sciences 5 (3): 253-61. https://izlik.org/JA76PL29AY.
EndNote
Diallo AS, Massamba F (July 1, 2017) Some properties of four-dimensional Walker manifolds. New Trends in Mathematical Sciences 5 3 253–261.
IEEE
[1]A. S. Diallo and F. Massamba, “Some properties of four-dimensional Walker manifolds”, New Trends in Mathematical Sciences, vol. 5, no. 3, pp. 253–261, July 2017, [Online]. Available: https://izlik.org/JA76PL29AY
ISNAD
Diallo, Abdoul Salam - Massamba, Fortune. “Some Properties of Four-Dimensional Walker Manifolds”. New Trends in Mathematical Sciences 5/3 (July 1, 2017): 253-261. https://izlik.org/JA76PL29AY.
JAMA
1.Diallo AS, Massamba F. Some properties of four-dimensional Walker manifolds. New Trends in Mathematical Sciences. 2017;5:253–261.
MLA
Diallo, Abdoul Salam, and Fortune Massamba. “Some Properties of Four-Dimensional Walker Manifolds”. New Trends in Mathematical Sciences, vol. 5, no. 3, July 2017, pp. 253-61, https://izlik.org/JA76PL29AY.
Vancouver
1.Abdoul Salam Diallo, Fortune Massamba. Some properties of four-dimensional Walker manifolds. New Trends in Mathematical Sciences [Internet]. 2017 Jul. 1;5(3):253-61. Available from: https://izlik.org/JA76PL29AY