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A Kähler deformation of $ {\bf C}{\rm P}\sp n$

Authors: H. Mori and Y. Watanabe
Journal: Proc. Amer. Math. Soc. 103 (1988), 910-912
MSC: Primary 53C55; Secondary 32G05, 32J99
MathSciNet review: 947680
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Abstract: We shall construct a one-parameter family of complete Kähler metrics on the $ n$-dimensional complex projective space $ C{P^n}$, including the Fubini-study metric. We shall get, as a corollary, many noncanonical $ S{C^m}$ Kähler structures on $ C{P^n}$.

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Keywords: Kähler deformation, $ S{C^m}$ structure, unitary-symmetric Kähler manifold
Article copyright: © Copyright 1988 American Mathematical Society

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