Journal of applied mathematics & informatics

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

  • Oh, Won-Tae (Department of Mathematics, Chungbuk National University) ;
  • Shin, Seung-Soo (Department of Mathematics, Chungbuk National University)
  • Published : 2000.09.01

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Abstract

We investigate the projectively flat warped product manifolds and study the geometric structure of the base space and its fibre. Specifically we find the conditions that the scalar curvature of the base space (B,g) vanishes if and only if f is harmonic on (B,g) and the fibre (F,$\bar{g}$) is a space of constant curvature.

Keywords

References

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