3 papers
math.DG2025
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…
math.DG2024
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 the…
math.DG2023
The Einstein-Hilbert functional and the Donaldson-Futaki invariant
Abdellah Lahdili, Eveline Legendre, Carlo Scarpa
Given a Kaehler manifold polarised by a holomorphic ample line bundle, we consider the circle bundle associated to the polarisation with the induced transversal holomorphic structu…