The Radon Transform for Forms of Type (1, 1) on Complex Projective Space (Erratum).
The rational homotopy theory of smooth, complex projective varieties
The relation between the associate almost complex structure to and -Cartan connections.
The relative deformation theory of representations and flat connections and deformations of linkages in constant curvature spaces
The resolution of the bounded curvature conjecture in general relativity
This paper reports on the recent proof of the bounded curvature conjecture. More precisely we show that the time of existence of a classical solution to the Einstein-vacuum equations depends only on the -norm of the curvature and a lower bound of the volume radius of the corresponding initial data set.
The restriction theorem for fully nonlinear subequations
Let be a submanifold of a manifold . We address the question: When do viscosity subsolutions of a fully nonlinear PDE on , restrict to be viscosity subsolutions of the restricted subequation on ? This is not always true, and conditions are required. We first prove a basic result which, in theory, can be applied to any subequation. Then two definitive results are obtained. The first applies to any “geometrically defined” subequation, and the second to any subequation which can be transformed...
The Reverse Isoperimetric Problem for Gaussian Measure.
The Ricci curvature of totally real 3-dimensional submanifolds of the nearly Kaehler 6-sphere.
The Ricci tensor of an almost homogeneous Kähler manifold.
The rigidity of Clifford torus S1 (...) x Sn-1 (...).
The rigidity theorem for Landsberg hypersurfaces of a Minkowski space
Let Mⁿ be a compact Landsberg hypersurface of a Minkowski space with constant mean curvature H. Using the Gauss formula for the Chern connection of Finsler submanifolds, we prove that if M is convex, then M is Riemannian with constant curvature.
The role of symmetry and separation in surface evolution and curve shortening.
The Ruelle rotation of Killing vector fields
We present an explicit formula for the Ruelle rotation of a nonsingular Killing vector field of a closed, oriented, Riemannian 3-manifold, with respect to Riemannian volume.
The -curvature of homogeneous -metrics.
The Scalar Curvature of Minimal Hypersurfaces in Spheres.
The Scalar Curvature of the Tangent Bundle of a Finsler Manifold
The Schläfli formula in Einstein manifolds with boundary.
The Schouten-van Kampen Affine Connections Adapted to Almost (Para)Contact Metric Structures
The Schwarz Lemma for nonpositively curved riemannian surfaces.
The second variation of area of minimal surfaces in four-manifolds.