Lines of principal curvature around umbilics and Whitney umbrellas
نویسندگان
چکیده
منابع مشابه
On the Patterns of Principal Curvature Lines around a Curve of Umbilic Points
In this paper is studied the behavior of principal curvature lines near a curve of umbilic points of a smooth surface.
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In this paper is studied the relationship between quadratic tangencies of principal lines with the boundary of a surface and the Darbouxian umbilics of a smooth boundaryless surface which approximates it through the process of thickening and smoothing defined here.
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In this paper are determined the principal curvatures and principal curvature lines on canal surfaces which are the envelopes of families of spheres with variable radius and centers moving along a closed regular curve in R3. By means of a connection of the differential equations for these curvature lines and real Riccati equations, it is established that canal surfaces have at most two isolated...
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Configurations of lines of principal curvature on constant mean curvature immersed surfaces are studied. Analytical models for these configurations near general isolated umbilical points and particular types of ends are found. From the existence of transversal invariant measures for the foliations by principal lines, established here, follows that the union of recurrent lines of principal curva...
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In this paper are determined the principal curvatures and principal curvature lines on canal surfaces which are the envelopes of families of spheres with variable radius and centers moving along a closed regular curve in R. By means of a connection of the differential equations for these curvature lines and real Riccati equations, it is established that canal surfaces have at most two isolated ...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 2000
ISSN: 0040-8735
DOI: 10.2748/tmj/1178224605