97 citations
- École PolytechniqueFR63 papers
- Centre National de la Recherche ScientifiqueFR13 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR10 papers
- Département de mathématiques et applicationsFR3 papers
- Université Paris CitéFR3 papers
- Université Paris NanterreFR3 papers
- Analyse, Géométrie et ModélisationFR2 papers
- CY Cergy Paris UniversitéFR2 papers
- École Normale Supérieure - PSLFR2 papers
- Institut de recherche mathématique de RennesFR2 papers
- Institut Montpelliérain Alexander GrothendieckFR2 papers
- Laboratoire de Mathématiques Blaise PascalFR2 papers
12 papers · 1 filter
A splitting theorem for extremal Kaehler metrics
Vestislav Apostolov, Hongnian Huang
Based on recent work of S. K. Donaldson and T. Mabuchi, we prove that any extremal Kaehler metric in the sense of E. Calabi, defined on the product of polarized compact complex pro…
Courant Algebroids. A Short History
Yvette Kosmann-Schwarzbach
The search for a geometric interpretation of the constrained brackets of Dirac led to the definition of the Courant bracket. The search for the right notion of a "double" for Lie b…
Maximal sets with no solution to x+y=3z
Alain Plagne, Anne de Roton
In this paper, we are interested in a generalization of the notion of sum-free sets. We address a conjecture first made in the 90s by Chung and Goldwasser. Recently, after some com…
The global existence and convergence of the Calabi flow on
Renjie Feng, Hongnian Huang
In this note, we study the long time existence of the Calabi flow on . Assuming the uniform bound of the total energy, we establish t…
Solutions of semilinear elliptic equations in tubes
Frank Pacard, Filomena Pacella, Berardino Sciunzi
Given a smooth compact k-dimensional manifold Λembedded in , with m\geq 2 and 1\leq k\leq m-1, and given ε>0, we define B_ε(Λ) to be the geodesic tubular neighborhoo…
A refinement of Izumi's Theorem
Sébastien Boucksom, Charles Favre, Mattias Jonsson
We improve Izumi's inequality, which states that any divisorial valuation v centered at a closed point 0 on an algebraic variety Y is controlled by the order of vanishing at 0. Mor…