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Dergiler / New Trends in Mathematical Sciences / 2026 / Cilt: 5 Sayı: 3

Some properties of four-dimensional Walker manifolds

Abdoul Salam Diallo(School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal)
Fortune Massamba(School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal)
Sayfa
253–261
Yayın Tarihi
2017-07-01
DOI
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Some characterization theorems are also obtained.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we investigate geometric properties of some curvature tensors of a four-dimensional Walker manifold.
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Temel Bulgular & Veri:In this paper, we investigate geometric properties of some curvature tensors of a four-dimensional Walker manifold.
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Sonuç & Katkı:Some characterization theorems are also obtained.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Einstein metric · locally symmetry · locally conformally flat

Abstract

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

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Bu Makaleye Atıf Yap

Diallo, A. S., Massamba, F. (2017). Some properties of four-dimensional Walker manifolds. New Trends in Mathematical Sciences, Cilt: 5 Sayı: 3, 253–261. https://ajindex.com/articles/1657652

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Kaynakça (10)

  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.
  9. K. Sekigawa, On some compact Einstein almost Kahler manifolds, J. Math. Soc. Japan, 39 (1987), nˆA◦ 4, 677-684.
  10. Walker AG (1950) Canonical form for a Riemannian space with a parallel field of null planes. Quart J Math Oxford 1(2): 69-79.