Kähler metrics on fibered manifolds
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- by Paul C. Yang PDF
- Proc. Amer. Math. Soc. 63 (1977), 131-133 Request permission
Abstract:
A Bochner type integral identity is used to derive a nonfibration theorem for complex manifolds with negative holomorphic bisectional curvature. As an application, a classification of fibered compact Kähler surfaces with nonpositive bisectional curvature is given.References
- Samuel I. Goldberg and Shoshichi Kobayashi, Holomorphic bisectional curvature, J. Differential Geometry 1 (1967), 225–233. MR 227901
- Shoshichi Kobayashi and Katsumi Nomizu, Foundations of differential geometry. Vol. II, Interscience Tracts in Pure and Applied Mathematics, No. 15 Vol. II, Interscience Publishers John Wiley & Sons, Inc., New York-London-Sydney, 1969. MR 0238225
- Kunihiko Kodaira, On compact analytic surfaces, Analytic functions, Princeton Univ. Press, Princeton, N.J., 1960, pp. 121–135. MR 0140519
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 63 (1977), 131-133
- MSC: Primary 53C55; Secondary 32J15
- DOI: https://doi.org/10.1090/S0002-9939-1977-0436056-7
- MathSciNet review: 0436056