15 citations · 15 across the 3 of their papers we have counts for
7 papers · 1 filter
Weighted K-stability of polarized varieties and extremality of Sasaki manifolds
Vestislav Apostolov, David M. J. Calderbank, Eveline Legendre
We use the correspondence between extremal Sasaki structures and weighted extremal Kahler metrics defined on a regular quotient of a Sasaki manifold, established by the first two a…
Localizing the Donaldson-Futaki invariant
Eveline Legendre
We use the equivariant localization formula to prove that the Donaldson-Futaki invariant of a compact smooth (K{ä}hler) test configuration coincides with the Futaki invariant of th…
Toric Sasaki-Einstein metrics with conical singularities
Martin de Borbon, Eveline Legendre
We show that any toric Kähler cone with smooth compact cross-section admits a family of Calabi-Yau cone metrics with conical singularities along its toric divisors. The family is p…
Some Open Problems in Sasaki Geometry
Charles P. Boyer, Hongnian Huang, Eveline Legendre +1
This paper has been submitted to the Proceedings of the Australian-German Workshop on Differential Geometry in the Large held at the mathematical research institute MATRIX in Cresw…
A note on extremal toric almost Kähler metrics
Eveline Legendre
An almost Kähler structure is {\it extremal} if the Hermitian scalar curvature is a Killing potential [29]. When the almost complex structure is integrable it coincides with extrem…
Levi-Kahler reduction of CR structures, products of spheres, and toric geometry
Vestislav Apostolov, David M J Calderbank, Paul Gauduchon +1
We study CR geometry in arbitrary codimension, and introduce a process, which we call the Levi-Kahler quotient, for constructing Kahler metrics from CR structures with a transverse…