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math.DG2026
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…
math.DG2026
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…