Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-26T00:25:09.660Z Has data issue: false hasContentIssue false
  • English
  • Français

Constant Holomorphic Curvature

Published online by Cambridge University Press:  20 November 2018

N. S. Hawley
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We shall present in this paper a certain theorem concerning complex manifolds provided with an Hermitian metric satisfying the Kaehler restriction. The variables z1, z2, …, zn denote local complex coordinates in the manifold and their conjugates. The subscripts a, b, c, … run from 1 to n and by .

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 5 , 1953 , pp. 53 - 56
Copyright
Copyright © Canadian Mathematical Society 1953

References

1. Bochner, S., Curvature in Hermitian metric, Bull. Amer. Math. Soc, 53 (1947), 179–195.Google Scholar
2. Bochner, S., On compact complex manifolds, J. Indian Math. Soc. (n.s.), 11 (1947), 1–21.Google Scholar
3. Hawley, N. S., A theorem on compact complex manifolds, Ann. Math., 52 (1950), 637–641.Google Scholar
4. Siegel, C. L., Functions of several complex variables, Lectures delivered at the Institute for Advanced Study 1948-1949, notes by P. T. Bateman. Google Scholar