منابع مشابه
Special Weingarten Surfaces Foliated by Circles * Msc 2000 Subject Classification: 53a05, 53c40
In this paper we study surfaces in Euclidean 3-space foliated by pieces of circles and that satisfy a Weingarten condition of type aH+bK = c, where a, b and c are constant and H and K denote the mean curvature and the Gauss curvature respectively. We prove that a such surface must be a surface of revolution, a Riemann minimal surface or a generalized cone.
متن کاملSurfaces, circles, and solenoids
Previous work of the author has developed coordinates on bundles over the classical Teichmüller spaces of punctured surfaces and on the space of cosets of the Möbius group in the group of orientation-preserving homeomorphisms of the circle, and this work is surveyed here. Joint work with Dragomiř Sari´c is also sketched which extends these results to the setting of the Teichmüller space of the ...
متن کاملSurfaces from Circles
In the search for appropriate discretizations of surface theory it is crucial to preserve such fundamental properties of surfaces as their invariance with respect to transformation groups. We discuss discretizations based on Möbius invariant building blocks such as circles and spheres. Concrete problems considered in these lectures include the Willmore energy as well as conformal and curvature ...
متن کاملOn the Height of Foliated Surfaces with Vanishing Kodaira Dimension
We prove that the height of a foliated surface of Kodaira dimension zero belongs to {1, 2, 3, 4, 5, 6, 8, 10, 12}. We also construct an explicit projective model for Brunella’s very special foliation.
متن کاملGenerating curves and swept surfaces by blended circles
We present an improved version of the spline curve defined by H.-J. Wenz (1996) for the interpolation of 2D curve data. This trigonometrically blended spline is curvature continuous, interpolates 3D curve data, and is generated by convex combinations of circular arcs and straight line segments. As an application we show a method for rounding off the vertices of spatial polygonal lines and gener...
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ژورنال
عنوان ژورنال: Results in Mathematics
سال: 2013
ISSN: 1422-6383,1420-9012
DOI: 10.1007/s00025-013-0316-8