Compactification of Kähler manifolds with negative Ricci curvature.
Compactification of parahermitian symmetric spaces and its applications. II: Stratifications and automorphism groups.
Compactifications kähleriennes de voisinages ouverts de cycles géométriquement positifs
Compactness and finiteness theorems for isospectral manifolds.
Compactness and global estimates for the geometric Paneitz equation in high dimensions.
Compactness for embedded pseudoholomorphic curves in 3-manifolds
We prove a compactness theorem for holomorphic curves in 4-dimensional symplectizations that have embedded projections to the underlying 3-manifold. It strengthens the cylindrical case of the SFT compactness theorem [BEH+C03] by using intersection theory to show that degenerations of such sequences never give rise to multiple covers or nodes, so transversality is easily achieved. This has application to the theory of stable finite energy foliations introduced in [HWZ03], and also suggests a new...
Compactness of isospectral conformal metrics on S3.
Compactness results in symplectic field theory.
Compactness theorems for the Bakry-Emery Ricci tensor on semi-Riemannian manifolds
In this manuscript we provide new extensions for the Myers theorem in weighted Riemannian and Lorentzian manifolds. As application we obtain a closure theorem for spatial hypersurfaces immersed in some time-like manifolds.
Comparing heat operators through local isometries or fibrations
Comparision of the length of infinite geodesics in manifolds with nonpositive curvature.
Comparison of metrics on three-dimensional Lie groups
We study local equivalence of left-invariant metrics with the same curvature on Lie groups and of dimension three, when is unimodular and is non-unimodular.
Comparison principles and Liouville theorems for prescribed mean curvature equations in unbounded domains
Comparison principles for hypersurfaces of prescribed mean curvature.
Comparison theorems and hypersurfaces.
Comparison theorems for compact symmetric spaces
Comparison Theory for Riccati equations.
Compatible complex structures on twistor space
Let be a Riemannian 4-manifold. The associated twistor space is a bundle whose total space admits a natural metric. The aim of this article is to study properties of complex structures on which are compatible with the fibration and the metric. The results obtained enable us to translate some metric properties on (scalar flat, scalar-flat Kähler...) in terms of complex properties of its twistor space .
Compatible flat metrics.
Complément à la théorie d'Arnold de l'indice de Maslov