1 citations · 1 across the 7 of their papers we have counts for
5 papers · 1 filter
Degenerate Hermitian geometry and curvatures of holomorphic fibrations
Gunnar Þór Magnússon
We calculate curvature tensors of metrics on the total spaces of holomorphic fibrations. Our main tool is a theory of Chern connections and curvature forms for possibly degenerate…
Cohomological expression of the curvature of Kähler moduli
Gunnar Þór Magnússon
The Kähler cone of a compact Kähler manifold carries a natural Riemannian metric, given by the intersection product of its cohomology ring. We give cohomological expressions for th…
The inner product on exterior powers of a complex vector space
Gunnar Þór Magnússon
We give a formula for the inner product of forms on a Hermitian vector space in terms of linear combinations of iterates of the adjoint of the Lefschetz operator. As an application…
Automorphisms and examples of compact non Kähler manifolds
Gunnar Þór Magnússon
If is an automorphism of a compact simply connected Kähler manifold with trivial canonical bundle that fixes a Kähler class, then the order of is finite. We apply this well…
A natural hermitian metric associated with local universal families of compact Ricci-flat Kähler manifolds
Gunnar Þór Magnússon
Let be a local universal family of compact Ricci-flat Kähler manifolds over a smooth base . The complexified Kähler cones of each fiber of the family form…