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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A curvature normal form for $ 4$-dimensional Kähler manifolds


Author: David L. Johnson
Journal: Proc. Amer. Math. Soc. 79 (1980), 462-464
MSC: Primary 53B35
MathSciNet review: 567993
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Abstract: A curvature operator R is said to possess a normal form relative to some space of curvature operators $ \mathcal{P}$ if R is determined uniquely in $ \mathcal{P}$ by the critical points and critical values of the associated sectional curvature function. It is shown that any curvature operator of Kähler type in real dimension 4 with positive-definite Ricci curvature has a normal form relative to the space of all Kähler operators.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1980-0567993-0
PII: S 0002-9939(1980)0567993-0
Keywords: Sectional curvature, algebraic curvature tensor, Kähler curvture operator
Article copyright: © Copyright 1980 American Mathematical Society



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