| 词条 | Einstein–Hermitian vector bundle |
| 释义 |
In differential geometry, an Einstein–Hermitian vector bundle is a Hermitian vector bundle over a Hermitian manifold whose metric is an Einstein–Hermitian metric, meaning that it satisfies the Einstein condition that the mean curvature, considered as an endomorphism of the vector bundle, is a constant times the identity operator. Einstein–Hermitian vector bundles were introduced by {{harvs|txt|last=Kobayashi|authorlink=Shoshichi Kobayashi|year=1980|loc=section 6}}. The Kobayashi–Hitchin correspondence implies that Einstein–Hermitian vector bundles are closely related to stable vector bundles. For example, every irreducible Einstein–Hermitian vector bundle over a compact Kähler manifold is stable. See also
References
2 : Vector bundles|Albert Einstein |
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