Results 61 to 70 of about 5,434 (88)

Some results about holomorphic vector bundles over general Hopf manifolds

Science in China Series A: Mathematics, 2009
A general Hopf manifold of dimension \(n\geq2\) is a manifold \(M\) of the form \(M:=W/G\), where \(W={\mathbb C}^n\setminus\{0\}\) and \(G=\pi_1(M)\). The fundamental group \(G\) has an infinite cyclic subgroup \({\mathbb Z}\) contained in the centre of \(G\) such that \(G={\mathbb Z}.K\) with \(K\) finite. When \(K\) is trivial, the Hopf manifold \(M\
Xiangyu Zhou
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Semi-stable holomorphic vector bundles over generalized Kähler manifolds

Complex Variables and Elliptic Equations, 2021
In this paper, by using Uhlenbeck–Yau's continuity method, we prove the existence of approximate Hermite–Einstein structure on the semi-stable generalized holomorphic bundles over closed generalize...
openaire   +1 more source

Equivariant holomorphic Hermitian principal bundles over a generalized flag manifold

Annals of Global Analysis and Geometry, 2011
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Biswas, Indranil, Gurjar, Sudarshan
openaire   +2 more sources

Canonical metrics on holomorphic quiver bundles over compact generalized Kähler manifolds

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
The article studies the \((\alpha,\sigma,\tau)\)-Hermite-Yang-Mills equations on compact generalized Kähler manifolds. As first accomplishment, after introducing the \((\alpha,\sigma,\tau)\)-Hermite-Yang-Mills flow, the authors solve the Dirichlet problem for \((\alpha,\sigma,\tau)\)-Hermite-Yang-Mills equations on holomorphic quiver bundles over ...
Dan-Ni Chen   +4 more
openaire   +2 more sources

Homogeneous Hermitian holomorphic vector bundles and operators in the Cowen-Douglas class over the poly-disc

Journal of Mathematical Analysis and Applications, 2022
Prahllad Deb, Somnath Hazra
exaly  

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