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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

1 vote
0 answers
123 views

A problem on stable flat principle bundles

In B. Anchouche and I.Biswas's paper " Einstein-Hermitian connections on polystable principal bundles over a compact K\"ahler manifold" Page 209 there states that: A principal $G$-bundle $E_G$ over a …
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2 votes
0 answers
196 views

The extension of vector bundle over Hermitian manifold

Bando-Siu's paper Stable sheaves and Einstein-Hermitian metrics Theorem 2 Let $(E,h)$ be a holomorphic vector bundle with a Hermitian metric $h$ defined on a Kähler manifold $(Y,\omega)$ outside a …
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  • 89