2-Killing vector fields on Riemannian manifolds.
A C 0 -theory for the blow-up of second order elliptic equations of critical Sobolev growth.
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 comparison-estimate of Topogonov type for Ricci curvature.
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 Conjecture of Besse on Harmonic Manifolds.
A Construction of Non-Flat, Compact Irreducible Riemannian Manifolds Which are Isospectral But Not Isometric.
A Direct Approach to the Determination of Gaussian and Scalar Curvature Functions.
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.