Approximation of viscosity solution by morphological filters
Approximation of viscosity solution by morphological filters
We consider in all curvature equation where G is a nondecreasing function and curv(u) is the curvature of the level line passing by x. These equations are invariant with respect to any contrast change u → g(u), with g nondecreasing. Consider the contrast invariant operator . A Matheron theorem asserts that all contrast invariant operator T can be put in a form . We show the asymptotic equivalence of both formulations. More precisely, we show that all curvature equations can be obtained...
Approximative Lösung der Formeln von Frenet im Falle ‘kleiner’ Quotienten ,
Apriori estimates of the principal curvatures for immersions of prescribed mean curvature and theorems of Bernstein-type.
Äquiforme Analogien in der Kinematik der konjugierten Profile
In der Arbeit wird vor allem die äquiforme Analogie zu der zweierleien Erzeugung der Hüllbahnkurve und ihre Ausnützyung zur Herleitung der H. R. Müllerschen Gleichungen gegebe. Aus der Beziehung in einer von diesen Gleichungen werden drei Typen der Aufgaben gelöst: direkte, inverse und gemischte. Weiter wird die Analogie zu dem Cauchyschen Satz über den Winkel der gemeinsamen Normale der konjugierten Profile und der Verbindungsgerade dieses Berührungspunktes mit dem 1-Pole in der gegebenen Phase...
Arcs of Local Cyclic Order Three.
Area and length of spherical cycloid
Area minimizing hypersurfaces with isolated singularities.
Area minimizing hypersurfaces with precribed volume and boundary.
Area swept by line segment under a planar motion.
Area-stationary surfaces in neutral Kähler 4-manifolds.
Arithmetisch definierte Gruppen mit Galoisoperation.
Arnold's projective plane and -matrices.
Around heat decay on forms and relations of nilpotent Lie groups
Around the bounded curvature conjecture in general relativity
We report on recent progress obtained on the construction and control of a parametrix to the homogeneous wave equation , where is a rough metric satisfying the Einstein vacuum equations. Controlling such a parametrix as well as its error term when one only assumes bounds on the curvature tensor of is a major step towards the proof of the bounded curvature conjecture.
Aspects of affine toda field theory
Aspects of Geometric Quantization Theory in Poisson Geometry
This is a survey exposition of the results of [14] on the relationship between the geometric quantization of a Poisson manifold, of its symplectic leaves and its symplectic realizations, and of the results of [13] on a certain kind of super-geometric quantization. A general formulation of the geometric quantization problem is given at the beginning.
Aspects of parabolic invariant theory
A certain family of homogeneous spaces is investigated. Basic invariant operators for each of these structures are presented and some analogies to Levi-Civita connections of Riemannian geometry are pointed out.
Aspherical Manifolds of Standard Linear Type.
Associated families of pluriharmonic maps and isotropy.