4 citations · 4 across the 5 of their papers we have counts for
10 papers
Lie groups, Nahm's equations and hyperkaehler manifolds
Roger Bielawski
Lectures given at the summer school on Algebraic Groups, Goettingen, June 27 - July 15 2005
Manifolds with an SU(2)-action on the tangent bundle
Roger Bielawski
We study manifolds arising as spaces of sections of complex manifolds fibering over the projective line with normal bundle of each section isomorphic to several copies of O(k). Suc…
Prescribing Ricci curvature on complexified symmetric spaces
Roger Bielawski
In this note we show that any real exact G-invariant (1,1)-form is the Ricci form of a Kaehler metric on the complexification of an irreducible compact symmetric space G/K.
Entire invariant solutions to Monge-Ampere equations
Roger Bielawski
We prove existence and regularity of entire solutions to Monge-Ampere equations invariant under an irreducible action of a compact Lie group.
Complexification and hypercomplexification of manifolds with a linear connection
Roger Bielawski
We give a simple interpretation of the adapted complex structure of Lempert-Szoke and Guillemin-Stenzel: it is given by a polar decomposition of the complexified manifold. We then…
Kaehler metrics on G^C
Roger Bielawski
We study G-invariant Kaehler metrics on G^C from the Hamiltonian point of view. As an application we show that there exist (GxG)-invariant Ricci-flat Kaehler metrics on G^C for any…