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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Killing vector fields on complete Riemannian manifolds
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by Shinsuke Yorozu PDF
Proc. Amer. Math. Soc. 84 (1982), 115-120 Request permission

Abstract:

We discuss Killing vector fields with finite global norms on complete Riemannian manifolds whose Ricci curvatures are nonpositive or negative.
References
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  • H. Kitahara, Non-existence of non-trivial $\square$-harmonic $1$-forms on a complete foliated riemannian manifold, Trans. Amer. Math. Soc. 262 (1980), 429-435.
  • Shoshichi Kobayashi and Katsumi Nomizu, Foundations of differential geometry. Vol I, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1963. MR 0152974
  • G. de Rham, Variétés différentiables, Hermann, Paris, 1955.
  • Shinsuke Yorozu, Holomorphic vector fields on complete Kähler manifolds, Ann. Sci. Kanazawa Univ. 17 (1980), 17–21 (1981). MR 621024
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 84 (1982), 115-120
  • MSC: Primary 53C20
  • DOI: https://doi.org/10.1090/S0002-9939-1982-0633291-1
  • MathSciNet review: 633291