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半黎曼流形上的扭积(英文)

Warped products on semi-Riemannian manifolds
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摘要 研究了半黎曼流形上曲率张量和Ricci曲率的性质 。 In this paper, we at first study properties for curvature tensors, Ricci curvature on the singly warped products on semi Riemannian manifolds. And then, we establish the whole formulas of the curvature tensor, Ricci curvature and scalar curvature on the singly and warped product on semi Riemannian manifolds.
出处 《延边大学学报(自然科学版)》 CAS 2001年第3期162-166,共5页 Journal of Yanbian University(Natural Science Edition)
关键词 扭积 半黎曼流形 曲率张量 RICCI曲率 光滑流形 Curvature Warped products Manifold
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参考文献5

  • 1[1]Allison D E. Pseudoconvexity in Lorentzian doubly warped products[J]. Geom Dedicata, 1991,39:223 - 227. 被引量:1
  • 2[2]Bishop R L. Manifolds of negative curvature[J]. Trans Amer Math Soc, 1969,145:55-79. 被引量:1
  • 3[3]Dobarro F. Scalar curvature and warped product of Riemannian manifolds[J]. Trans Amer Math Soc,1987,303:161 - 168. 被引量:1
  • 4[4]Gebarowski A. On einstein warped products[J]. Tensor N S, 1993,52:204-207. 被引量:1
  • 5[5]Neill B O. Semi-Riemannian geometry with applications to relativety[M]. New-York-London: Academic Press, 1983. 被引量:1

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