6 citations · 25 across the 13 of their papers we have counts for
4 papers · 1 filter
About J-flow, J-balanced metrics, uniform J-stability and K-stability
Yoshinori Hashimoto, Julien Keller
From the work of Dervan-Keller, there exists a quantization of the critical equation for the J-flow. This leads to the notion of J-balanced metrics. We prove that the existence of…
Construction of constant scalar curvature Kähler cone metrics
Julien Keller, Kai Zheng
Over a compact Kähler manifold, we provide a Fredholm alternative result for the Lichnerowicz operator associated to a Kähler metric with conic singularities along a divisor. We de…
Relative K-polystability of projective bundles over a curve
Vestislav Apostolov, Julien Keller
Let be the projectivization of a holomorphic vector bundle over a compact complex curve . We characterize the existence of an extremal Kähler metric on the ruled mani…
On the lower bounds of the L^2-norm of the Hermitian scalar curvature
Julien Keller, Mehdi Lejmi
On a pre-quantized symplectic manifold, we show that the symplectic Futaki invariant, which is an obstruction to the existence of constant Hermitian scalar curvature almost-Kähler…