scholarly journals Compact Dupin hypersurfaces

2021 ◽  
Vol 9 (1) ◽  
pp. 57-68
Author(s):  
Thomas E. Cecil
Keyword(s):  
Dupin Hypersurfaces

Dupin Hypersurfaces in ℝ5

2005 ◽  
Vol 57 (6) ◽  
pp. 1291-1313 ◽  
Author(s):  
Carlos M.C. Riveros ◽  
Keti Tenenblat
Keyword(s):  
Principal Curvatures ◽  
Lines Of Curvature ◽  
Dupin Hypersurfaces ◽  
Vector Valued Functions ◽  
Vector Valued ◽  
Generic Family

AbstractWe study Dupin hypersurfaces in ℝ5 parametrized by lines of curvature, with four distinct principal curvatures. We characterize locally a generic family of such hypersurfaces in terms of the principal curvatures and four vector valued functions of one variable. We show that these vector valued functions are invariant by inversions and homotheties.

On a class of Dupin hypersurfaces in $$R^5$$ with nonconstant Lie curvature

2013 ◽  
Vol 169 (1) ◽  
pp. 301-321 ◽  
Author(s):  
Marcelo Lopes Ferro ◽  
Luciana Ávila Rodrigues ◽  
Keti Tenenblat
Keyword(s):  
Dupin Hypersurfaces ◽  
Lie Curvature

scholarly journals Dupin hypersurfaces, group actions and the double mapping cylinder

1987 ◽  
Vol 26 (3) ◽  
pp. 429-459 ◽  
Author(s):  
Karsten Grove ◽  
Stephen Halperin
Keyword(s):  
Group Actions ◽  
Mapping Cylinder ◽  
Dupin Hypersurfaces

scholarly journals Deformations of Dupin hypersurfaces

1989 ◽  
Vol 107 (4) ◽  
pp. 1037-1037 ◽  
Author(s):  
Ulrich Pinkall ◽  
Gudlaugur Thorbergsson
Keyword(s):  
Dupin Hypersurfaces

scholarly journals Dupin hypersurfaces with constant Laguerre curvatures

2017 ◽  
Vol 154 (1-2) ◽  
pp. 169-184
Author(s):  
Miguel Cezana ◽  
Keti Tenenblat
Keyword(s):  
Dupin Hypersurfaces
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