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Hermitian-Poisson Metrics on Flat Bundles over Complete Hermitian Manifolds

Chinese Annals of Mathematics, Series B, 2021
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Some Remarks Concerning Anti-Hermitian Metrics

Mediterranean Journal of Mathematics, 2019
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Salimov, Arif, Azizova, Shabnam
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THE METRIC OPERATORS FOR PSEUDO-HERMITIAN HAMILTONIAN

The ANZIAM Journal, 2023
AbstractThe Hamiltonian of a conventional quantum system is Hermitian, which ensures real spectra of the Hamiltonian and unitary evolution of the system. However, real spectra are just the necessary conditions for a Hamiltonian to be Hermitian. In this paper, we discuss the metric operators for pseudo-Hermitian Hamiltonian which is similar to its ...
WEN-HUA WANG, ZHENG-LI CHEN, WEI LI
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Hermitian-Einstein Metrics For Higgs Bundles Over Complete Hermitian Manifolds

Acta Mathematica Scientia, 2019
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Liu, Debin, Zhang, Pan
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Hermitian Metric and the Infinite Dihedral Group

Proceedings of the Steklov Institute of Mathematics, 2019
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Goldberg, Bryan, Yang, Rongwei
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Hermitian–Einstein metrics on holomorphic vector bundles over Hermitian manifolds

Journal of Geometry and Physics, 2005
The paper under review is divided in two parts. At first the Hermitian-Einstein (HE) flow over compact Hermitian manifolds is studied and the long-time existence of the HE flow is obtained. The second part is devoted to the HE equation on holomorphic vector bundles over complete (i.e., complete, non-compact and without boundary) Hermitian (non-Kähler ...
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Hermitian-einstein metrics on parabolic stable bundles

Acta Mathematica Sinica, English Series, 1999
Let \(M\) be a compact complex manifold of complex dimension two with a smooth Kähler metric and \(D\) a smooth divisor on \(M\). If \(E\) is a rank two holomorphic vector bundle on \(M\) with a stable parabolic structure along \(D\), the authors prove the existence of a Hermitian metric \(K\) on \(E\), restricted on \(M-D\), such that \(K\) is ...
Li, Jiayu, Narasimhan, M. S.
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Hermitian Metric Rigidity for Foliated Vector Bundles

Geometriae Dedicata, 1998
This is a continuation of work by the same author in [\textit{R. Quiroga}, Geom. Dedicata 57, 305-315 (1995; Zbl 0836.53019)]. There he proved rigidity theorems for a compact foliated manifold \((M,{\mathcal F})\) equipped with a leafwise holomorphic structure and a smooth leafwise Kähler metric. In this paper, he considers a Hermitian vector bundle \((
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Hermitian metric on quantum spheres

2011
The paper deal with non-commutative geometry. The notion of quan- tum spheres was introduced by podles. Here we define the quantum hermitian metric on the quantum spaces and find it for the quantum spheres.
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