24 citations · 60 across the 19 of their papers we have counts for
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math.DG2015★ 1 cited
The Einstein-Hilbert functional and the Sasaki-Futaki invariant
Charles P. Boyer, Hongnian Huang, Eveline Legendre +1
We show that the Einstein-Hilbert functional, as a functional on the space of Reeb vector fields, detects the vanishing Sasaki-Futaki invariant. In particular, this provides an obs…
math.DG2015
Toric aspects of the first eigenvalue
Eveline Legendre, Rosa Sena-Dias
In this paper we study the smallest non-zero eigenvalue of the Laplacian on toric Kähler manifolds. We find an explicit upper bound for in terms of moment polytope data…