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Siberian Mathematical Journal

, Volume 44, Issue 5, pp 817–820 | Cite as

An Equivalent Flat Condition

  • H. Kim
  • J. Kim
Article

Abstract

We show that on an 8-dimensional manifold with Euler characteristic zero every semiflat metric must be flat.

8-dimensional manifold Euler characteristic zero semiflat metric flat 

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References

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    Kim J. Einstein-Thorpe manifolds, PhD Thesis in S.U.N.Y at stony brook (1998).Google Scholar
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    Kuiper H. N., “On conformally flat spaces in the large,” Ann. Math., 50, 916–924 (1949).Google Scholar

Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • H. Kim
    • 1
  • J. Kim
    • 1
  1. 1.Yonsei UniversitySeoul

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