Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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CONFORMALLY FLAT WARPED PRODUCT RIEMANNIAN MANIFOLDS

  • Published : 2000.01.01

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Abstract

We investigate the conformally flat warped product manifolds and study the geometric structure of the base space and each fibre. Moreover we find the conditions that the base space and each fibres to be the space of constant curvatures.

Keywords

References

  1. Trans. Amer. Math. Soc. v.145 Manifolds of negative curvature R.L.Bishop;B.O'Neill
  2. Geometry of submanifolds B.Y. Chen
  3. Proc. Japan Acad v.71 Warped products with critical Riemannian metric B.H. Kim
  4. Semi-Riemannian geometry with application to relativity B. O'Neill