Collapsing Riemannian Manifolds to the Circle.
Commensurability classes and volumes of hyperbolic 3-manifolds
Compact flat manifolds with holonomy group (II)
Compact manifolds with exceptional holonomy.
Compactification conforme des variétés asymptotiquement plates
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 of isospectral conformal metrics on S3.
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 theorems and hypersurfaces.
Comparison theorems for compact symmetric spaces
Comparison Theory for Riccati equations.
Complete gradient Ricci solitons
For complete gradient Ricci solitons we state necessary conditions for a non-trivial soliton structure in terms of intrinsic curvature invariants.
Complete Homogeneous Riemannian Manifolds of Negative Sectional Curvature.
Complete Kähler Manifolds of Positive Ricci Curvature.
Complete Riemannian manifolds admitting a pair of Einstein-Weyl structures
We prove that a connected Riemannian manifold admitting a pair of non-trivial Einstein-Weyl structures with constant scalar curvature is either Einstein, or the dual field of is Killing. Next, let be a complete and connected Riemannian manifold of dimension at least admitting a pair of Einstein-Weyl structures . Then the Einstein-Weyl vector field (dual to the -form ) generates an infinitesimal harmonic transformation if and only if is Killing.
Complete spacelike hypersurfaces with constant scalar curvature
In this paper, we characterize the -dimensional complete spacelike hypersurfaces in a de Sitter space with constant scalar curvature and with two distinct principal curvatures one of which is simple.We show that is a locus of moving -dimensional submanifold , along the principal curvature of multiplicity is constant and is umbilical in and is contained in an -dimensional sphere and is of constant curvature ,where is the arc length of an orthogonal trajectory of the family...