4 papers · 1 filter
The toric CR Yamabe problem
Eveline Legendre, Carlo Scarpa, Christina W. Tønnesen-Friedman
We study the equivariant CR Yamabe problem for a fixed-point-free torus action on a co-oriented compact contact manifold. Such examples arise naturally in the study of Sasakian man…
Yamabe-type problems on compact Hermitian manifolds
Daniele Angella, Francesco Pediconi, Carlo Scarpa +2
We introduce and study a one-parameter Hermitian deformation of the Yamabe problem on compact complex manifolds. The deformation is defined by adding natural torsion terms to the R…
The CR Yamabe invariant and constant scalar curvature Sasaki metrics
Abdellah Lahdili, Eveline Legendre, Carlo Scarpa
We propose a new approach to the existence of constant transversal scalar curvature Sasaki structures drawing on ideas and tools from the CR Yamabe problem, establishing a link bet…
-critical equations for holomorphic vector bundles on Kähler surfaces
Julien Keller, Carlo Scarpa
We prove that the existence of a -positive and -critical Hermitian metric on a rank 2 holomorphic vector bundle over a compact Kähler surface implies that the bundle is -s…