Results 211 to 220 of about 384 (243)

An isolated umbilical point of a Willmore surface

An isolated umbilical point of a Willmore surface
openaire   +1 more source

Isolated umbilic points on surfaces in R^3

, 2006
Guilfoyle, B., Klingenberg, W.
core  

Umbilical points on surfaces in ${\bf R}^N$

, 1985
openaire   +1 more source

On Umbilic Points on Newly Born Surfaces

Bulletin of the Brazilian Mathematical Society, New Series, 2017
The authors show that newly born surfaces in 3-space have 4 and only 4 umbilic points. Umbilics are points on a surface where the curvature is the same in any direction. That is, locally, the surface is spherical. Here, a newly born surface is characterized as a surface created from a function with Morse singularity of index either 0 or 3.
Masaru Hasegawa, Farid Tari
exaly   +4 more sources

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Umbilic points on Gaussian random surfaces

Journal of Physics A: Mathematical and General, 1977
An umbilic point U on a surface Sigma is a place where the two principal curvatures of Sigma are equal. U is a singularity of Sigma in three different senses: (i) it is the source of elliptic (E) or hyperbolic (H) umbilic catastrophes in the envelope of normals ('focal surface') of Sigma ; (ii) it has index +or-1/2 depending on whether the principal ...
Berry, M. V., Hannay, J. H.
openaire   +5 more sources

Hyperbolic Conservation Laws with Umbilic Points I

, 1992
Abstract : In this paper a compactness framework for approximate solutions to nonlinear hyperbolic systems with umbilic points is established by combining ideas in modern nonlinear analysis with classical methods, and by a detailed analysis of a highly singular Euler-Poisson-Darboux-type equation.
Pui T. Kan, Gui-Qiang Chen
openaire   +2 more sources

The Umbilic Points in Ellipsoidal Orthorhombic Medium

83rd EAGE Annual Conference & Exhibition, 2022
S. Xu, A. Stovas, X. Huang
openaire   +3 more sources

Umbilic point screening in random optical fields

Optics Letters, 2007
Umbilic points--singular points of curvature characterized by a fractional topological charge q=+/-1/2--are the most numerous of all special points in the landscape of random optical fields (speckle patterns), outnumbering maxima, minima, saddle points, and optical vortices.
Isaac, Freund, Roman I, Egorov, Marat S, Soskin   +2 more
openaire   +2 more sources

Lines of curvature and umbilical points for implicit surfaces

Computer Aided Geometric Design, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Che, Wu-Jun, Paul, Jean-Claude, Zhang, Wiao-Peng   +2 more
openaire   +4 more sources