A note on the volume of balls on Riemannian manifolds of non-negative curvature
A note to a theorem by K. Sekigawa
A pinching theorem on complete submanifolds with parallel mean curvature vectors
Let M be an n-dimensional complete immersed submanifold with parallel mean curvature vectors in an (n+p)-dimensional Riemannian manifold N of constant curvature c > 0. Denote the square of length and the length of the trace of the second fundamental tensor of M by S and H, respectively. We prove that if S ≤ 1/(n-1) H² + 2c, n ≥ 4, or S ≤ 1/2 H² + min(2,(3p-3)/(2p-3))c, n = 3, then M is umbilical. This result generalizes the Okumura-Hasanis...
A priori estimates for harmonic mappings.
A Property of Biharmonic Functions with Dirichlet Finite Laplacians.
A radius sphere theorem.
A Relation Between Growth and the Spectrum of the Laplacian.
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 the differential equations on the sphere
A sharp four dimensional isoperimetric inequality.
A short proof of the Hölder-Poincaré duality for -cohomology
A Sphere Theorem for Submanifolds in a Manifold with Pinched Positive Curvature.
A splitting theorem for open nonnegatively curved manifolds.
A splitting theorem for spaces of nonpositive curvature.
A survey on axioms of submanifolds in Riemannian and Kaehlerian geometry
A unified approach to some theorems on homogeneous Riemannian and affine spaces
A universal bound for lower Neumann eigenvalues of the Laplacian
Let be an -dimensional () simply connected Hadamard manifold. If the radial Ricci curvature of is bounded from below by with respect to some point , where is the Riemannian distance on to , is a nonpositive continuous function on , then the first nonzero Neumann eigenvalues of the Laplacian on the geodesic ball , with center and radius , satisfy where is the solution to
A Universal Proper G-Space.
A Variational Proof of the Gauss-Bonnet Formula.
A volume comparison estimate with radially symmetric Ricci curvature lower bound and its applications.