Differential Geometry, Lie Theory and Low-Dimensional Topology, Melbourne, Australia, 2016

Register for: CADG16

Details of talk

TitleOn homogeneous Lagrangian submanifolds in complex hyperbolic spaces
PresenterTakahiro Hashinaga (National Institute of Technology Kitakyushu College)
Author(s)Dr Takahiro Hashinaga
Sessionn/a
Time
Abstract


In this talk, we study homogeneous Lagrangian submanifolds in complex hyperbolic
spaces.
We show there exists a correspondence between compact homogeneous Lagrangian
submanifolds in complex hyperbolic spaces and ones in complex Euclidean spaces
(or equivalently, complex projective spaces).
We also introduce classification results of non-compact homogeneous Lagrangian
submanifolds in complex hyperbolic spaces obtained by actions of connected
closed subgroups of the solvable part of the Iwasawa decomposition.
This talk is based on a joint work with Toru Kajigaya(OCAMI, Japan).