An optimal estimate of the free boundary of a minima surface.
An unknotting result for complete minimal surfaces R3.
Analytisch-geometrische Untersuchungen.
Anti-holonomic jets and the Lie bracket
Second order anti-holonomic jets as anti-symmetric parts of second order semi-holonomic jets are introduced. The anti-holonomic nature of the Lie bracket is shown. A general result on universality of the Lie bracket is proved.
Antitrochoiden, eine Analogon zu den Radlinien.
Application of spaces of subspheres to conformal invariants of curves and canal surfaces
We review some techniques from the Möbius geometry of curves and surfaces in the 3-sphere, consider canal surfaces using their characteristic circles, and express the conformal curvature, and conformal torsion, of a vertex-free space curve in terms of its corresponding curve of osculating circles, and osculating spheres, respectively. We accomplish all of this strictly within the framework of Möbius geometry, and compare our results with the literature. Finally, we show how our formulation allows...
Applications of Quaternionic Holomorphic Geometry to minimal surfaces
In this paper we give a survey of methods of Quaternionic Holomorphic Geometry and of applications of the theory to minimal surfaces. We discuss recent developments in minimal surface theory using integrable systems. In particular, we give the Lopez–Ros deformation and the simple factor dressing in terms of the Gauss map and the Hopf differential of the minimal surface. We illustrate the results for well–known examples of minimal surfaces, namely the Riemann minimal surfaces and the Costa surface....
Applications of spectral geometry to affine and projective geometry.
Approximation eines Evolventenstücks durch ein Kreisbogenstück
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...
Area and length of spherical cycloid
Area minimizing hypersurfaces with isolated singularities.
Area swept by line segment under a planar motion.
Area-stationary surfaces in neutral Kähler 4-manifolds.
Asymmetric unbounded liquid bridges
Asymptotic analysis of the equichordal problem.
Asymptotic behavior of solutions to an area-preserving motion by crystalline curvature
Asymptotic behavior of solutions of an area-preserving crystalline curvature flow equation is investigated. In this equation, the area enclosed by the solution polygon is preserved, while its total interfacial crystalline energy keeps on decreasing. In the case where the initial polygon is essentially admissible and convex, if the maximal existence time is finite, then vanishing edges are essentially admissible edges. This is a contrast to the case where the initial polygon is admissible and convex:...
Asymptotic behaviour of minimal graphs over exterior domains
Asymptotic estimates for best and stepwise approximation of convex bodies II.