4 citations · 4 across the 5 of their papers we have counts for
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math.AP2002
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.
math.DG2002
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…
math.DG2002
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…