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

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Details of talk

TitleLeft-invariant metrics and submanifold geometry
PresenterHiroshi Tamaru (Hiroshima University)
Author(s)Prof Hiroshi Tamaru

For left-invariant metrics on Lie groups, we can construct submanifolds in the
spaces of all left-invariant metrics. We expect that nice left-invariant metrics
are corresponding to nice submanifolds. In this talk, we introduce our
framework, and mention some results related to such correspondence.