2 citations · 3 across the 4 of their papers we have counts for
5 papers
Formalized functional analysis with semilinear maps
Frédéric Dupuis, Robert Y. Lewis, Heather Macbeth
Semilinear maps are a generalization of linear maps between vector spaces where we allow the scalar action to be twisted by a ring homomorphism such as complex conjugation. In part…
Steady Kähler-Ricci solitons on crepant resolutions of finite quotients of
Olivier Biquard, Heather Macbeth
We prove the existence of steady Kähler-Ricci solitons on equivariant crepant resolutions of , where is a finite subgroup of .
Conformal classes realizing the Yamabe invariant
Heather Macbeth
We give a characterization of conformal classes realizing a compact manifold's Yamabe invariant. This characterization is the analogue of an observation of Nadirashvili for metrics…
Kähler-Einstein metrics and higher alpha-invariants
Heather Macbeth
We give a criterion for the existence of a Kähler-Einstein metric on a Fano manifold in terms of the higher algebraic alpha-invariants .
Detecting Einstein geodesics: Einstein metrics in projective and conformal geometry
A. Rod Gover, Heather Macbeth
Here we treat the problem: given a torsion-free connection do its geodesics, as unparametrised curves, coincide with the geodesics of an Einstein metric? We find projective invaria…