Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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VARIATIONAL METHODS ON WARPED PRODUCT MANIFOLDS

  • Received : 2007.05.09
  • Published : 2007.12.25
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Abstract

In this paper, we consider the problem of achieving constant scalar curvature on warped product manifolds according to fiber manifolds with constant scalar curvature.

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References

  1. T. Aubin, Nonlinear analysis on manifolds Springer-Verlag, New York, 1982.
  2. F. Dobarro and E. L. Dozo, Scalar curvature and warped products of Riemanman manifolds, Trans. Amer. Math. Soc. 303 (1987), 161-168. https://doi.org/10.1090/S0002-9947-1987-0896013-4
  3. P. E. Ehrlich, Yoon-Tae Jung and Seon-Bu Kim, Constant scalar curvatures on warped product manifolds, Tsukuba J. Math. 33 (1996), 239-256.
  4. B. O'Neill, Semi-Riemannian Geometry Academic, New York, 1983.