Minimal Lagrangian submanifolds of the complex hyperquadric

DOI10.1007/s11425-019-9551-2zbMath1447.53055arXiv1812.07888OpenAlexW2991238009WikidataQ126653576 ScholiaQ126653576MaRDI QIDQ2193948

Luc Vrancken, Hui Ma, Xian Feng Wang, Haizhong Li, Joeri Van der Veken

Publication date: 25 August 2020

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.07888

zbMATH Keywords

Gauss mapconstant sectional curvaturecomplex hyperquadricisoparametric hypersurfaceminimal Lagrangian submanifolds

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Lagrangian submanifolds; Maslov index (53D12) Local submanifolds (53B25)

Related Items (11)

Non-existence of conformally flat real hypersurfaces in both the complex quadric and the complex hyperbolic quadric ⋮ Totally geodesic surfaces in the complex quadric ⋮ Totally real flat minimal surfaces in the hyperquadric ⋮ Locally strongly convex affine hypersurfaces with semi-parallel cubic form ⋮ Cyclic semi-parallel real hypersurfaces in complex Grassmannians of rank two ⋮ Locally conformally flat affine hyperspheres with parallel Ricci tensor ⋮ Classification of semi-parallel hypersurfaces of the product of two spheres ⋮ \(C\)-totally real submanifolds with constant sectional curvature in the Sasakian space forms ⋮ Lagrangian submanifolds of the complex hyperbolic quadric ⋮ Lagrangian submanifolds of the complex quadric as Gauss maps of hypersurfaces of spheres ⋮ On Hopf hypersurfaces of the complex quadric with recurrent Ricci tensor

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