wintgen ideal submanifolds
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Wintgen ideal submanifolds: New examples, frame sequence and Möbius homogeneous classification

2021 ◽  
Vol 381 ◽  
pp. 107620
Author(s):  
Zhenxiao Xie ◽  
Tongzhu Li ◽  
Xiang Ma ◽  
Changping Wang
Keyword(s):  
Frame Sequence ◽  
Wintgen Ideal Submanifolds

scholarly journals Pseudo-symmetries of generalized Wintgen ideal Lagrangian submanifolds

2018 ◽  
Vol 103 (117) ◽  
pp. 181-190
Author(s):  
Miroslava Petrovic-Torgasev ◽  
Anica Pantic
Keyword(s):  
Complex Space ◽  
Lagrangian Submanifolds ◽  
Ambient Space ◽  
Space Forms ◽  
Equality Case ◽  
Wintgen Ideal Submanifolds ◽  
Complex Space Forms

Mihai obtained the Wintgen inequality, also known as the generalized Wintgen inequality, for Lagrangian submanifolds in complex space forms and also characterized the corresponding equality case. Submanifolds M which satisfy the equality in these optimal general inequalities are called generalized Wintgen ideal submanifolds in the ambient space ?M. For generalized Wintgen ideal Lagrangian submanifolds Mn in complex space forms ?Mn(4c), we will show some properties concerning different kinds of their pseudosymmetry in the sense of Deszcz.

Wintgen ideal submanifolds: reduction theorems and a coarse classification

2017 ◽  
Vol 53 (3) ◽  
pp. 377-403 ◽  
Author(s):  
Zhenxiao Xie ◽  
Tongzhu Li ◽  
Xiang Ma ◽  
Changping Wang
Keyword(s):  
Wintgen Ideal Submanifolds

scholarly journals Wintgen ideal submanifolds of codimension two, complex curves, and Möbius geometry

2016 ◽  
Vol 68 (4) ◽  
pp. 621-638 ◽  
Author(s):  
Tongzhu Li ◽  
Xiang Ma ◽  
Changping Wang ◽  
Zhenxiao Xie
Keyword(s):  
Codimension Two ◽  
Complex Curves ◽  
Möbius Geometry ◽  
Wintgen Ideal Submanifolds

scholarly journals Möbius geometry of three-dimensional Wintgen ideal submanifolds in $\mathbb{S}^5 $

2014 ◽  
Vol 57 (6) ◽  
pp. 1203-1220 ◽  
Author(s):  
ZhenXiao Xie ◽  
TongZhu Li ◽  
Xiang Ma ◽  
ChangPing Wang
Keyword(s):  
Three Dimensional ◽  
Möbius Geometry ◽  
Wintgen Ideal Submanifolds

scholarly journals Ricci and Casorati principal directions of Wintgen ideal submanifolds

Filomat ◽  
2014 ◽  
Vol 28 (4) ◽  
pp. 657-661 ◽  
Author(s):  
Simona Decu ◽  
Miroslava Petrovic-Torgasev ◽  
Aleksandar Sebekovic ◽  
Leopold Verstraelend
Keyword(s):  
Real Space ◽  
Space Forms ◽  
Real Space Forms ◽  
Principal Directions ◽  
Wintgen Ideal Submanifolds

We show that for Wintgen ideal submanifolds in real space forms the (intrinsic) Ricci principal directions and the (extrinsic) Casorati principal directions coincide.

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