Scalar curvature of defineable CAT-spaces.
Several new characterizations of the sphere
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...
Sobre los cuerpos convexos de anchura constante en
Some Congruence Theorems for Closed Hypersurfaces in Riemann Spaces (Part III: Method baser on Voss' Proof)
Stability problems in a theorem of F. Schur.
Sur la rigidité de polyèdres hyperboliques en dimension : cas de volume fini, cas hyperidéal, cas fuchsien
Un polyèdre hyperbolique semi-idéal est un polyèdre dont les sommets sont dans l’espace hyperbolique ou à l’infini. Un polyèdre hyperbolique hyperidéal est, dans le modèle projectif, l’intersection de avec un polyèdre projectif dont les sommets sont tous en dehors de et dont toutes les arêtes rencontrent . Nous classifions les polyèdres semi-idéaux en fonction de leur métrique duale, d’après les résultats de Rivin dans [8] (écrit avec C.D.Hodgson) et [7]. Nous utilisons ce résultat pour retrouver...
Surfaces in and via spinors
We generalize the spinorial characterization of isometric immersions of surfaces in given by T. Friedrich to surfaces in and . The main argument is the interpretation of the energy-momentum tensor associated with a special spinor field as a second fundamental form. It turns out that such a characterization of isometric immersions in terms of a special section of the spinor bundle also holds in the case of hypersurfaces in the Euclidean -space.
Surfaces of Constant Mean Curvature Which Have a Simple Projection.
Symmetry of Hypersurfaces of Constant Mean Curvature with Symmetric Boundary.
The analytic Carathéodory conjecture.
The boundary value Minkowski problem. The parametric case
The concept of cutting vectors for vector systems in the Euclidean plane.
The convex floating body.
The Painlevé III equation and the Iwasawa decomposition.
Torsion, curvature and deflection -tensors on .
Total curvature of non-differentiable curves.
Typical Convex Curves on Convex Surfaces.
Über einfache Mannigfaltigkeiten im linearen affinen Raum in globaler Auffassung
Über Riemannsche Metriken, deren Werte, Levi-Civita-Zusammenhang und Riemannscher Krümmungstensor über einer Untermannigfaltigkeit vorgeschrieben sind.