Lagrangian geometry of the Gauss images of isoparametric hypersurfaces in spheres

Reiko Miyaoka; Yoshihiro Ohnita

doi:10.1515/coma-2019-0013

Lagrangian geometry of the Gauss images of isoparametric hypersurfaces in spheres

Reiko Miyaoka, Yoshihiro Ohnita

Institute of Liberal Arts and Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

The 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 Q_n(a). This is a survey article based on our joint work [17] to study the Hamiltonian non-displaceability and related properties of such Lagrangian submanifolds.

Original language	English
Pages (from-to)	265-278
Number of pages	14
Journal	Complex Manifolds
Volume	6
Issue number	1
DOIs	https://doi.org/10.1515/coma-2019-0013
Publication status	Published - 2019 Jan 1

Keywords

Floer homology
Isoparametric hypersurfaces
monotone Lagrangian submanifolds

ASJC Scopus subject areas

Geometry and Topology

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10.1515/coma-2019-0013

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abstract = "The 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(a). This is a survey article based on our joint work [17] to study the Hamiltonian non-displaceability and related properties of such Lagrangian submanifolds.",

keywords = "Floer homology, Isoparametric hypersurfaces, monotone Lagrangian submanifolds",

author = "Reiko Miyaoka and Yoshihiro Ohnita",

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Lagrangian geometry of the Gauss images of isoparametric hypersurfaces in spheres

Abstract

Keywords

ASJC Scopus subject areas

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