dupin hypersurfaces
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scholarly journals Compact Dupin hypersurfaces

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

scholarly journals Spacelike Dupin hypersurfaces in Lorentzian space forms

2018 ◽  
Vol 70 (2) ◽  
pp. 463-480 ◽  
Author(s):  
Tongzhu LI ◽  
Changxiong NIE
Keyword(s):  
Space Forms ◽  
Lorentzian Space ◽  
Dupin Hypersurfaces ◽  
Lorentzian Space Forms

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

On Dupin Hypersurfaces in R 5 Parametrized by Lines of Curvature

2016 ◽  
Vol 70 (3-4) ◽  
pp. 499-531
Author(s):  
Marcelo Lopes Ferro ◽  
Luciana Ávila Rodrigues ◽  
Keti Tenenblat
Keyword(s):  
Lines Of Curvature ◽  
Dupin Hypersurfaces

Dupin Hypersurfaces

2015 ◽  
pp. 233-342
Author(s):  
Thomas E. Cecil ◽  
Patrick J. Ryan
Keyword(s):  
Dupin Hypersurfaces

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 A Characterization of Dupin Hypersurfaces in $\mathbb R^4$

2013 ◽  
Vol 20 (1) ◽  
pp. 145-154
Author(s):  
Carlos M.C. Riveros
Keyword(s):  
Dupin Hypersurfaces

scholarly journals New results toward the classification of biharmonic submanifolds in 𝕊n

2012 ◽  
Vol 20 (2) ◽  
pp. 89-114 ◽  
Keyword(s):  
Biharmonic Submanifolds ◽  
Intrinsic Properties ◽  
Rigidity Results ◽  
Dupin Hypersurfaces ◽  
Bounded Norm

Abstract We prove some new rigidity results for proper biharmonic immer- sions in Sn of the following types: Dupin hypersurfaces; hypersurfaces, both compact and non-compact, with bounded norm of the second fun- damental form; hypersurfaces satisfying intrinsic properties; PMC sub- manifolds; parallel submanifolds.

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