umbilical points
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2018 ◽  
Vol 25 (1) ◽  
pp. 75-84
Author(s):  
Peter Ebenfelt ◽  
Duong Ngoc Son ◽  
Dmitri Zaitsev
Keyword(s):  


2017 ◽  
Vol 30 (5) ◽  
pp. 1203-1215
Author(s):  
Xiao-Ping Xiao ◽  
Ming Yin ◽  
Liang Heng ◽  
Guo-Fu Yin ◽  
Zi-Sheng Li


2017 ◽  
Vol 28 (09) ◽  
pp. 1740001
Author(s):  
Peter Ebenfelt

The main objective of this paper is to survey some recent results on the Chern–Moser question concerning existence of umbilical points on three-dimensional CR submanifolds in [Formula: see text].



2016 ◽  
Vol 368 (1-2) ◽  
pp. 537-560 ◽  
Author(s):  
Peter Ebenfelt ◽  
Duong Ngoc Son


2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Junfeng Chen ◽  
Shichang Shu

Letx:M↦Sn+1(1)be ann  (n≥3)-dimensional immersed hypersurface without umbilical points and with vanishing Möbius form in a unit sphereSn+1(1), and letAandBbe the Blaschke tensor and the Möbius second fundamental form ofx, respectively. We define a symmetric(0,2)tensorD=A+λBwhich is called the para-Blaschke tensor ofx, whereλis a constant. An eigenvalue of the para-Blaschke tensor is calleda para-Blaschke eigenvalueofx. The aim of this paper is to classify the oriented hypersurfaces inSn+1(1)with two distinct para-Blaschke eigenvalues under some rigidity conditions.



2013 ◽  
Vol 421 ◽  
pp. 489-495
Author(s):  
Savio Gianpaolo ◽  
Concheri Gianmaria ◽  
Meneghello Roberto

A method for computinglines of curvatureandumbilical pointsis proposed. These properties, derived for NURBS surfaces, are useful in shape modeling for both aesthetic and functional characteristics evaluation. Moreover, the application to theship-hull designand to theprogressive additional lens design, of umbilics and lines of curvature are investigated.



2013 ◽  
Vol 88 (1) ◽  
Author(s):  
T. H. Beuman ◽  
A. M. Turner ◽  
V. Vitelli


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