Hyperbolic manifolds admitting holomorphic fiberings

On the Factors and Fiberings of Manifolds

Manifolds admitting stable forms

Special geometries defined by a class of differential forms on manifolds are again in the center of interests of geometers. These interests are motivated by the fact that such a setting of special geometries unifies many known geometries as symplectic geometry and geometries with special holonomy [Joyce2000], as well as other geometries arised in the M-theory [GMPW2004], [Tsimpis2005]. A series...

Principal Bundles Admitting a Holomorphic Connection

LetG be a connected affine algebraic reductive group over C. Let P be a holomorphic principal G bundle on M (i.e. the transition functions of P are holomorphic). Assume that P admits a holomorphic connection D compatible with the holomorphic structure. This means the following : D is a holomorphic 1-form on P with values in the Lie algebra, g, of G, such that D is invariant for the action of G ...

Strictly Kähler-Berwald manifolds with constant‎ ‎holomorphic sectional curvature

In this paper‎, ‎the‎ ‎authors prove that a strictly Kähler-Berwald manifold with‎ ‎nonzero constant holomorphic sectional curvature must be a‎ Kähler manifold‎. 

Hyperbolic Monopoles and Holomorphic Spheres

We associate to an SU(2) hyperbolic monopole a holomorphic sphere embedded in projective space and use this to uncover various features of the monopole.