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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 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 | References | Similar Articles | Additional Information

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}$.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0947680-4
PII: S 0002-9939(1988)0947680-4
Keywords: Kähler deformation, $ S{C^m}$ structure, unitary-symmetric Kähler manifold
Article copyright: © Copyright 1988 American Mathematical Society