Compact Six-Dimensional Kähler Spin Manifolds of Positive Scalar Curvature with the Smallest Possible First Eigenvalue of the Dirac Operator.
Compact space-like hypersurfaces in de Sitter space.
Compact spacelike hypersurfaces with constant mean curvature in the anti de Sitter space.
Compact space-like hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces
A new class of -dimensional Lorentz spaces of index is introduced which satisfies some geometric conditions and can be regarded as a generalization of Lorentz space form. Then, the compact space-like hypersurface with constant scalar curvature of this spaces is investigated and a gap theorem for the hypersurface is obtained.
Compact space-like submanifolds with parallel mean curvature vector of a pseudo-Riemannian space
Compact symplectic four solvmanifolds without polarizations
Compact symplectic four-dimensional manifolds not admitting polarizations
Compactification conforme des variétés asymptotiquement plates
Compactification of complete Kähler surfaces with negative Ricci curvature.
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.