Hermitian connection
id:
hermitian-connection-238-5849558
title:
Hermitian connection
text:
In mathematics, a Hermitian connection ∇ is a connection on a Hermitian vector bundle E over a smooth manifold M which is compatible with the Hermitian metric ⟨ ⋅ , ⋅ ⟩ on E , meaning that for all smooth vector fields v and all smooth sections s , t of E . If X is a complex manifold, and the Hermitian vector bundle E on X is equipped with a holomorphic structure, then there is a unique Hermitian connection whose-part coincides with the Dolbeault operator ∂ ¯ E on E associated to the holomorphic
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Hermitian_connection
date created:
date modified:
2023-08-12T00:20:43Z
main entity:
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image:
fields total:
13
integrity:
13