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Proceedings of the American Mathematical Society

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

 

 

Small deformations of a class of compact non-Kähler manifolds


Authors: L. Alessandrini and G. Bassanelli
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
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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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DOI: https://doi.org/10.1090/S0002-9939-1990-1012922-5
Article copyright: © Copyright 1990 American Mathematical Society