A radius sphere theorem.
A recurrent curvature-like tensor on semi-definite Kähler manifolds.
A recursive scheme of first integrals of the geodesic flow of a Finsler manifold.
A reduction method for proving the existence of solutions to elliptic equations involving the -Laplacian.
A Reduction Theorem for Cohomology Groups of Very Strongly q-convex Kähler Manifolds.
A regularity theorem for curvature flows.
A Relation Between Growth and the Spectrum of the Laplacian.
A relationship between volume, injectivity radius, and eigenvalues.
A remark on almost umbilical hypersurfaces
In this article, we prove new stability results for almost-Einstein hypersurfaces of the Euclidean space, based on previous eigenvalue pinching results. Then, we deduce some comparable results for almost umbilical hypersurfaces.
A remark on compact symplectic manifolds not admitting complex structures
A remark on four-dimensional almost Kähler-Einstein manifolds with negative scalar curvature.
A remark on mixed curvature measures for sets with positive reach.
A remark on semi-∇-flat functions
We give a pointwise characterization of semi-∇-flat functions on an affine manifold (M,∇).
A remark on the differential equations on the sphere
A remarkable transformation group on cotangent bundle.
A Ricci flat pseudo-Riemannian metric on the tangent bundle of a Riemannian manifold
We consider a certain pseudo-Riemannian metric G on the tangent bundle TM of a Riemannian manifold (M,g) and obtain necessary and sufficient conditions for the pseudo-Riemannian manifold (TM,G) to be Ricci flat (see Theorem 2).
A Riemann-Lagrange geometrization for metrical multi-time Lagrange spaces.
A Riemann-Roch-Hirzebruch formula for traces of differential operators
Let be a holomorphic differential operator acting on sections of a holomorphic vector bundle on an -dimensional compact complex manifold. We prove a formula, conjectured by Feigin and Shoikhet, giving the Lefschetz number of as the integral over the manifold of a differential form. The class of this differential form is obtained via formal differential geometry from the canonical generator of the Hochschild cohomology of the algebra of differential operators on a formal neighbourhood of a...
A rigidity property of class VIIo surface fundamental groups.
A Rigidity Theorem for Higher Codimensions.