31 citations · 35 across the 5 of their papers we have counts for
8 papers
ccc-Autoevolutes
Hermann Karcher, Ekkehard-H. Tjaden
ccc-Autoevolutes are closed constant curvature space curves which are their own evolutes. A modified Frenet equation produces constant curvature curves such that the curve on $[0,…
Closed Constant Curvature Space Curves
Hermann Karcher
We use ODEs and symmetry arguments to construct closed constant curvature space curves, first on cylinders, next on tori, at last with the Frenet-Serret equations.
PointClouds: Distributing Points Uniformly on a Surface
Richard Palais, Bob Palais, Hermann Karcher
The concept of a Point Cloud has played an increasingly important role in many areas of Engineering, Science, and Mathematics. Examples are: LIDAR, 3D-Printing, Data Analysis, Comp…
Riemannian Center of Mass and so called karcher mean
Hermann Karcher
The Riemannian center of mass was constructed in [GrKa] (1973). In [GKR1, GKR2, Gr, Ka, BuKa] (1974-1981) it was successfully applied with more refined estimates. Probably in 1990…
Clifford Algebras and New Isoparametric Hypersurfaces
Dirk Ferus, Hermann Karcher, Hans-Friedrich Münzner
1. Translated by Thomas E. Cecil, Department of Mathematics and Computer Science, College of the Holy Cross, Worcester, MA 01610, USA; E-mail address: [email protected] 2.…
The Singly Periodic Genus-One Helicoid
David Hoffman, Hermann Karcher, Fusheng Wei
We prove the existence of a complete, embedded, singly periodic minimal surface, whose quotient by vertical translations has genus one and two ends. The existence of this surface w…