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Thermodynamics à la Souriau on Kähler Non-Compact Symmetric Spaces for Cartan Neural Networks. [PDF]
Fré PG, Sorin AS, Trigiante M.
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Some results about holomorphic vector bundles over general Hopf manifolds
Science in China Series A: Mathematics, 2009A 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, 2021In 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...
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Equivariant holomorphic Hermitian principal bundles over a generalized flag manifold
Annals of Global Analysis and Geometry, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Biswas, Indranil, Gurjar, Sudarshan
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Canonical metrics on holomorphic quiver bundles over compact generalized Kähler manifolds
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. MatemáticasThe 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
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Generalized Automorphic Forms and Certain Holomorphic Vector Bundles
American Journal of Mathematics, 1964openaire +2 more sources
Cohomology of holomorphic line bundles and Hodge symmetry on Oeljeklaus–Toma manifolds
European Journal of Mathematics, 2023Hisashi Kasuya
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