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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Scalar curvature and warped products of Riemann manifolds
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by F. Dobarro and E. Lami Dozo PDF
Trans. Amer. Math. Soc. 303 (1987), 161-168 Request permission

Abstract:

We establish the relationship between the scalar curvature of a warped product $M \times {}_fN$ of Riemann manifolds and those ones of $M$ and $N$. Then we search for weights $f$ to obtain constant scalar curvature on $M \times {}_fN$ when $M$ is compact.
References
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 303 (1987), 161-168
  • MSC: Primary 53C20; Secondary 58G30
  • DOI: https://doi.org/10.1090/S0002-9947-1987-0896013-4
  • MathSciNet review: 896013