We investigate how to obtain various flows of K"ahler metrics on a fixed manifold as variations of K"ahler reductions of a metric satisfying a given static equation on a higher dimensional manifold. We identify static equations that induce the geodesic equation for the Mabuchi's metric, the Calabi flow, the pseudo-Calabi flow of Chen-Zheng and the K"ahler-Ricci flow. In the latter case we re-derive the V-soliton equation of La Nave-Tian
International audienceWe discusss a natural way to approach the Kahler-Ricci flow on a projective ma...
We study a system of equations on a compact complex manifold, that couples the scalar curvature of a...
Abstract: The third del Pezzo surface admits a unique Kähler-Einstein metric, which is not known in...
In this paper, we first show an interpretation of the Kahler-Ricci flow on a manifold X as an exact ...
We consider various geometric flows which are well adapted for the study of non-K\"ahler complex man...
We study geometric curves flows whose invariants flow according to some soliton equations. We discus...
We study geometric curves flows whose invariants flow according to some soliton equations. We discus...
An intrinsic geometric flow is an evolution of a Riemannian metric by a two-tensor. An extrinsic geo...
Let X be a complex manifold fibered over the base S and let L be a relatively ample line bundle over...
Let X be a complex manifold fibered over the base S and let L be a relatively ample line bundle over...
This note surveys and compares results in [12] and [21, 22] on the separation of variables construct...
In this work we investigate Ricci flows of almost Kaehler structures on Lie algebroids when the fund...
Let X be an n-dimensional (n> 2) projective manifold of general type, i.e., its canonical divisor...
Abstract: In this work we provide a solution to the problem of finding constant curvature metrics on...
International audienceWe discusss a natural way to approach the Kahler-Ricci flow on a projective ma...
International audienceWe discusss a natural way to approach the Kahler-Ricci flow on a projective ma...
We study a system of equations on a compact complex manifold, that couples the scalar curvature of a...
Abstract: The third del Pezzo surface admits a unique Kähler-Einstein metric, which is not known in...
In this paper, we first show an interpretation of the Kahler-Ricci flow on a manifold X as an exact ...
We consider various geometric flows which are well adapted for the study of non-K\"ahler complex man...
We study geometric curves flows whose invariants flow according to some soliton equations. We discus...
We study geometric curves flows whose invariants flow according to some soliton equations. We discus...
An intrinsic geometric flow is an evolution of a Riemannian metric by a two-tensor. An extrinsic geo...
Let X be a complex manifold fibered over the base S and let L be a relatively ample line bundle over...
Let X be a complex manifold fibered over the base S and let L be a relatively ample line bundle over...
This note surveys and compares results in [12] and [21, 22] on the separation of variables construct...
In this work we investigate Ricci flows of almost Kaehler structures on Lie algebroids when the fund...
Let X be an n-dimensional (n> 2) projective manifold of general type, i.e., its canonical divisor...
Abstract: In this work we provide a solution to the problem of finding constant curvature metrics on...
International audienceWe discusss a natural way to approach the Kahler-Ricci flow on a projective ma...
International audienceWe discusss a natural way to approach the Kahler-Ricci flow on a projective ma...
We study a system of equations on a compact complex manifold, that couples the scalar curvature of a...
Abstract: The third del Pezzo surface admits a unique Kähler-Einstein metric, which is not known in...
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