Cohomologie bornée des surfaces et courants géodésiques
Complete Minimal Varieties in Hyperbolic Space.
Composition of some singular Fourier integral operators and estimates for restricted -ray transforms
We establish a composition calculus for Fourier integral operators associated with a class of smooth canonical relations . These canonical relations, which arise naturally in integral geometry, are such that : is a Whitney fold and : is a blow-down mapping. If , , then a class of pseudodifferential operators with singular symbols. From this follows boundedness of with a loss of 1/4 derivative.
Courbures intrinsèques dans les catégories analytico-géométriques
Deux types de courbures sont associés à un sous-ensemble compact et définissable d'une variété riemannienne analytique réelle. Si la variété est de courbure constante, il y a des relations linéaires entre ces mesures. Comme application, nous démontrons une formule cinématique, définissons des densités locales, et nous étudions les volumes des simplexes réguliers.
Crofton formulas in projective Finsler spaces.
Crofton measures in polytopal Hilbert geometries.
Cubic forms on Riemannian surfaces
Curvature bounds for neighborhoods of self-similar sets
In some recent work, fractal curvatures and fractal curvature measures , , have been determined for all self-similar sets in , for which the parallel neighborhoods satisfy a certain regularity condition and a certain rather technical curvature bound. The regularity condition is conjectured to be always satisfied, while the curvature bound has recently been shown to fail in some concrete examples. As a step towards a better understanding of its meaning, we discuss several equivalent formulations...
Curve shortening flow and the Banchoff-Pohl inequality on surfaces of nonpositive curvature.
Das Will'sche Funktional..
Density of a family of linear varietes
The measurability of the family, made up of the family of plane pairs and the family of lines in -dimensional space , is stated and its density is given.
Determination of compact subsets from functionals on them.
Differential forms as spinors
Differential Topology and the Computation of Total Absolute Curvature.
Ein kombinatorisches Analogon zum Satz von Gauss-Bonnet.
Estimates for the Classical Parametrix for the Laplacian.
Estimation of the visibility angle of a curve in a metric space of nonpositive curvature.
Eulersche Charakteristik, Projektionen und Quermaßintegrale.
Existence of flats in manifolds of nonpositive curvature.
Extremalaufgaben für Flächen beschränkter absoluter mittlerer Integralkrümmung im dreidimensionalen Raum konstanter Krümmung