Families of negatively curved Hermitian manifolds
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- by Michael J. Cowen PDF
- Proc. Amer. Math. Soc. 39 (1973), 362-366 Request permission
Abstract:
A complex analytic family of compact hermitian manifolds has negative holomorphic sectional curvature in a neighborhood of any fibre having negative holomorphic sectional curvature.References
- Hans Grauert and Helmut Reckziegel, Hermitesche Metriken und normale Familien holomorpher Abbildungen, Math. Z. 89 (1965), 108–125 (German). MR 194617, DOI 10.1007/BF01111588
- Shoshichi Kobayashi, Hyperbolic manifolds and holomorphic mappings, Pure and Applied Mathematics, vol. 2, Marcel Dekker, Inc., New York, 1970. MR 0277770
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 39 (1973), 362-366
- MSC: Primary 32L05; Secondary 32H25, 53C55
- DOI: https://doi.org/10.1090/S0002-9939-1973-0315163-X
- MathSciNet review: 0315163