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Pluriclosed flow on manifolds with globally generated bundles

Jeffrey Streets (2016)

Complex Manifolds

We show global existence and convergence results for the pluriclosed flow on manifolds for which certain naturally associated tensor bundles are globally generated.

Products of harmonic forms and rational curves.

Huybrechts, Daniel (2001)

Documenta Mathematica

Pseudo-real principal Higgs bundles on compact Kähler manifolds

Indranil Biswas, Oscar García-Prada, Jacques Hurtubise (2014)

Annales de l’institut Fourier

Let $X$ be a compact connected Kähler manifold equipped with an anti-holomorphic involution which is compatible with the Kähler structure. Let $G$ be a connected complex reductive affine algebraic group equipped with a real form $σ_{G}$ . We define pseudo-real principal $G$ -bundles on $X$ . These are generalizations of real algebraic principal $G$ -bundles over a real algebraic variety. Next we define stable, semistable and polystable pseudo-real principal $G$ -bundles. Their relationships with the usual stable, semistable...

Displaying 1 – 3 of 3

Pluriclosed flow on manifolds with globally generated bundles

Products of harmonic forms and rational curves.

Pseudo-real principal Higgs bundles on compact Kähler manifolds

Currently displaying 1 – 3 of 3