Scalar Curvature, Non-Abelian Group Actions, and the Degree of Symmetry of Exotic Spheres
Scalar curvature of a Metric with Unit Volume.
Scalar curvature of defineable CAT-spaces.
Scalar Curvature of Spheres.
Scalar curvature rigidity of asymptotically hyperbolic spin manifods.
Scalar Curvatures on Sn.
Scalar-flat closed manifolds not admitting positive scalar curvature metrics.
Scalar-flat Kähler metrics on blown-up ruled surfaces.
Schranken für die Chrsitoffelsymbole.
Second order parallel tensors on -contact metric manifolds.
Self-Adjointness of Powers of Elliptic Operators on Non-Compact Manifolds.
Self-dual magnetic monopoles and generalizations of holomorphic functions
Self-similar periodic tilings on the Heisenberg group.
Shadow lemma on the product of Hadamard manifolds and applications
In this paper we analyze the limit set of nonelementary subgroups acting by isometries on the product of two pinched Hadamard manifolds. Following M. Burger’s and P. Albuquerque’s works, we study the properties of Patterson-Sullivan’s measures on the limit sets of graph groups associated to convex cocompact groups.
Sharp isoperimetric inequalities and model spaces for the Curvature-Dimension-Diameter condition
We obtain new sharp isoperimetric inequalities on a Riemannian manifold equipped with a probability measure, whose generalized Ricci curvature is bounded from below (possibly negatively), and generalized dimension and diameter of the convex support are bounded from above (possibly infinitely). Our inequalities are sharp for sets of any given measure and with respect to all parameters (curvature, dimension and diameter). Moreover, for each choice of parameters, we identify the model spaces which...
Simplicial nonpositive curvature
We introduce a family of conditions on a simplicial complex that we call local k-largeness (k≥6 is an integer). They are simply stated, combinatorial and easily checkable. One of our themes is that local 6-largeness is a good analogue of the non-positive curvature: locally 6-large spaces have many properties similar to non-positively curved ones. However, local 6-largeness neither implies nor is implied by non-positive curvature of the standard metric. One can think of these results as a higher...
Small eigenvalues on Riemann surfaces of genus 2.
Smoothing Riemannian Metrics.
Some aspects of the Laplace operator in negative curvature
Some Bundles of Non-Negative Curvature.