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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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Small deformations of a class of compact non-Kähler manifolds
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by L. Alessandrini and G. Bassanelli PDF
Proc. Amer. Math. Soc. 109 (1990), 1059-1062 Request permission

Abstract:

Small deformations of Kähler manifolds are Kähler too; we prove here that this is not true for balanced manifolds nor, more generally, for $p$-Kähler manifolds $(p > 1)$, i.e., the property of being $p$-Kähler is not stable under small deformations.
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 109 (1990), 1059-1062
  • MSC: Primary 32G05
  • DOI: https://doi.org/10.1090/S0002-9939-1990-1012922-5
  • MathSciNet review: 1012922