scholarly journals On Lagrangian submanifolds in complex hyperquadrics and isoparametric hypersurfaces in spheres

2008 ◽  
Vol 261 (4) ◽  
pp. 749-785 ◽  
Author(s):  
Hui Ma ◽  
Yoshihiro Ohnita
Keyword(s):  
Lagrangian Submanifolds ◽  
Isoparametric Hypersurfaces ◽  
Hypersurfaces In Spheres

scholarly journals Lagrangian geometry of the Gauss images of isoparametric hypersurfaces in spheres

2019 ◽  
Vol 6 (1) ◽  
pp. 265-278
Author(s):  
Reiko Miyaoka ◽  
Yoshihiro Ohnita
Keyword(s):  
Lagrangian Submanifolds ◽  
Joint Work ◽  
Standard Sphere ◽  
Isoparametric Hypersurfaces ◽  
Survey Article ◽  
Complex Hyperquadric ◽  
Hypersurfaces In Spheres ◽  
Lagrangian Geometry

AbstractThe Gauss images of isoparametric hypersufaces of the standard sphere Sn+1 provide a rich class of compact minimal Lagrangian submanifolds embedded in the complex hyperquadric Qn(ℂ). This is a survey article based on our joint work [17] to study the Hamiltonian non-displaceability and related properties of such Lagrangian submanifolds.

scholarly journals On some types of isoparametric hypersurfaces in spheres, I

1975 ◽  
Vol 27 (4) ◽  
pp. 515-559 ◽  
Author(s):  
Hideki Ozeki ◽  
Masaru Takeuchi
Keyword(s):  
Isoparametric Hypersurfaces ◽  
Hypersurfaces In Spheres
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