A -theory for the blow-up of second order elliptic equations of critical Sobolev growth.
A Canonical Form for Compact Nonpositively Curved Manifolds Whose Fundamental Groups Have Nontrivial Center.
A canonical metric for Möbius structures and its applications.
A Characterization of the Cannonical Spheres by the Spectrum.
A class of discriminant varieties in the conformal 3-sphere.
A class of self-concordant functions on Riemannian manifolds.
A compactification of a manifold with asymptotically nonnegative curvature
A comparison-estimate of Topogonov type for Ricci curvature.
A complete classification of four-dimensional paraKähler Lie algebras
We consider paraKähler Lie algebras, that is, even-dimensional Lie algebras g equipped with a pair (J, g), where J is a paracomplex structure and g a pseudo-Riemannian metric, such that the fundamental 2-form Ω(X, Y) = g(X, JY) is symplectic. A complete classification is obtained in dimension four.
A conformally invariant sphere theorem in four dimensions
A Conjecture of Besse on Harmonic Manifolds.
A Construction of Non-Flat, Compact Irreducible Riemannian Manifolds Which are Isospectral But Not Isometric.
A curvature identity on a 6-dimensional Riemannian manifold and its applications
We derive a curvature identity that holds on any 6-dimensional Riemannian manifold, from the Chern-Gauss-Bonnet theorem for a 6-dimensional closed Riemannian manifold. Moreover, some applications of the curvature identity are given. We also define a generalization of harmonic manifolds to study the Lichnerowicz conjecture for a harmonic manifold “a harmonic manifold is locally symmetric” and provide another proof of the Lichnerowicz conjecture refined by Ledger for the 4-dimensional case under a...
A. D. Alexandrov's length manifolds with one-sided bounded curvature
A differential geometric characterization of symmetric spaces of higher rank
A Direct Approach to the Determination of Gaussian and Scalar Curvature Functions.
A finiteness theorem for Riemannian submersions
Given some geometric bounds for the base space and the fibres, there is a finite number of conjugacy classes of Riemannian submersions between compact Riemannian manifolds.
A general comparison theorem with applications to volume estimates for submanifolds
A General Schwarz Lemma for Riemannian-Manifolds
A generalization of Berger's rigidity theorem for positively curved manifolds