Study Of Hermitian-Einstein Metrics For Higgs Bundles

Posted on:2020-07-30

Degree:Master

Type:Thesis

Country:China

Candidate:D B Liu

Full Text:PDF

GTID:2370330575964545

Subject:Basic mathematics

Abstract/Summary:

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In this paper,we solve the Dirichlet problem for Higgs-Hermitian-Einstein equa-tions over compact Hermitian manifolds with non-empty boundary.Furthermore,We show the existence of the Hermitian-Einstein metrics of Higgs bundles over a class of complete Hermitian manifolds.

Keywords/Search Tags:

Higgs bundles, complete Hermitian manifolds, Hermitian-Einstein met-rics

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