From the 1 of 4 linked papers with an AI index.
4 papers
The toric CR Yamabe problem
Eveline Legendre, Carlo Scarpa, Christina W. Tønnesen-Friedman
The paper investigates the equivariant CR Yamabe problem on compact contact manifolds with a fixed-point-free torus action, showing it reduces to an elliptic boundary value problem…
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…
From Kähler Ricci solitons to Calabi-Yau Kähler cones
Vestislav Apostolov, Abdellah Lahdili, Eveline Legendre
We show that if is a smooth Fano manifold which caries a Kähler Ricci soliton, then the canonical cone of the product of with a complex projective space of sufficiently la…
Twins in K{ä}hler and Sasaki geometry
Charles P. Boyer, Hongnian Huang, Eveline Legendre +1
We introduce the notions of weighted extremal K{ä}hler twins together with the related notion of extremal Sasaki twins. In the Kähler setting this leads to a generalization of th…