A class of non-compact homogeneous Lagrangian submanifolds in complex hyperbolic spaces

DOI10.1007/s10455-016-9521-5zbMath1357.53093OpenAlexW2434101139MaRDI QIDQ507122

Takahiro Hashinaga, Toru Kajigaya

Publication date: 3 February 2017

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-016-9521-5

zbMATH Keywords

complex hyperbolic spaceshomogeneous Lagrangian submanifolds

Mathematics Subject Classification ID

Momentum maps; symplectic reduction (53D20) Lagrangian submanifolds; Maslov index (53D12)

Related Items (4)

Homogeneous Lagrangian foliations on complex space forms ⋮ On Hamiltonian stable Lagrangian tori in complex hyperbolic spaces ⋮ Homogeneous CR submanifolds of complex hyperbolic spaces ⋮ The Solvable Models of Noncompact Real Two-Plane Grassmannians and Some Applications

Cites Work

• Unnamed Item
• Almost all Lagrangian torus orbits in \(\mathbb CP^n\) are not Hamiltonian volume minimizing
• On a generalization of a theorem of McDuff
• A sufficient condition for congruency of orbits of Lie groups and some applications
• Lagrangian Floer homology of a pair of real forms in Hermitian symmetric spaces of compact type
• Construction of homogeneous Lagrangian submanifolds in \(\mathbb CP^n\) and Hamiltonian stability
• Homogeneous Lagrangian submanifolds
• Homogeneous isoparametric hypersurfaces in spheres with four distinct principal curvatures and moment maps
• On Lagrangian submanifolds in complex hyperquadrics and isoparametric hypersurfaces in spheres
• The symplectic structure of Kähler manifolds of non-positive curvature
• The topology of torus actions on symplectic manifolds. Transl. from the French by the author
• Volume minimization of Lagrangian submanifolds under Hamiltonian deformations
• Generalized Heisenberg groups and Damek-Ricci harmonic spaces
• Hamiltonian stability of certain minimal Lagrangian submanifolds in complex projective spaces
• Homogeneous polar foliations of complex hyperbolic spaces
• Cohomogeneity one actions on symmetric spaces of noncompact type

This page was built for publication: A class of non-compact homogeneous Lagrangian submanifolds in complex hyperbolic spaces