24 citations · 60 across the 19 of their papers we have counts for
24 papers
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…
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 lar…
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…
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…
Existence and Non-Existence of Constant Scalar Curvature and Extremal Sasaki Metrics
Charles P. Boyer, Hongnian Huang, Eveline Legendre +1
We discuss the existence and non-existence of constant scalar curvature, as well as extremal, Sasaki metrics. We prove that the natural Sasaki-Boothby-Wang manifold over the admiss…