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Some properties of four-dimensional Walker manifolds

Year 2017, Volume: 5 Issue: 3, 253 - 261, 01.07.2017
https://izlik.org/JA76PL29AY

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
https://izlik.org/JA76PL29AY

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 Research Article
Authors

Abdoul Salam Diallo

Fortune Massamba This is me

Publication Date July 1, 2017
IZ https://izlik.org/JA76PL29AY
Published in Issue Year 2017 Volume: 5 Issue: 3

Cite

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