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Homogeneous vector bundles and stability

Published online by Cambridge University Press:  22 January 2016

Shoshichi Kobayashi
Shoshichi Kobayashi*
Affiliation:
Department of Mathematics University of California, Berkeley Berkeley, California 94720, U.S.A.
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In [5, 6, 7] I introduced the concept of Einstein-Hermitian vector bundle. Let E be a holomorphic vector bundle of rank r over a complex manifold M. An Hermitian structure h in E can be expressed, in terms of a local holomorphic frame field s1, …, sr of E, by a positive-definite Hermitian matrix function (hij) defined by

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 101 , March 1986 , pp. 37 - 54
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1986

References

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