Hermitian-Einstein metrics for vector bundles on complete Kähler manifolds

DOI10.1090/S0002-9947-00-02549-6zbMath0973.58014OpenAlexW1497021757MaRDI QIDQ4517447

Lei Ni, Huaiyu Ren

Publication date: 22 November 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02549-6

zbMATH Keywords

Kähler manifoldsHermitian-Einstein metrics

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Holomorphic bundles and generalizations (32L05) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (9)

STABILITY AND HERMITIAN–EINSTEIN METRICS FOR VECTOR BUNDLES ON FRAMED MANIFOLDS ⋮ Hermitian-Einstein metrics for Higgs bundles over complete Hermitian manifolds ⋮ Hermitian Yang–Mills metrics on reflexive sheaves over asymptotically cylindrical Kähler manifolds ⋮ Hermitian-Einstein metrics on holomorphic vector bundles over Hermitian manifolds ⋮ Kobayashi–Hitchin correspondence for analytically stable bundles ⋮ Hermitian-Poisson metrics on flat bundles over complete Hermitian manifolds ⋮ Hermitian Yang-Mills metrics on Higgs bundles over asymptotically cylindrical Kähler manifolds ⋮ The Poisson equation on complete manifolds with positive spectrum and applications ⋮ Higgs bundles over non-compact Gauduchon manifolds

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