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RESEARCH ＞
TALK ＞
講演アブストラクト

The space of leftinvariant metrics on a Lie group.
Seminar, King's College London,
2009/09/07.
We study the space of leftinvariant Riemannian metrics
on a Lie group up to isometry and scaling.
Such space can be identified with the orbit space
of certain isometric action on a symmetric space of noncompact type,
and hence the theory of homogeneous submanifold could be applicable.
In this talk, we describe some Lie groups whose spaces
of leftinvariant metrics are small, that is,
the corresponding isometric actions are transitive or of cohomogeneity one.
This talk is based on a joint work with Hiroshi Kodama and Atsushi Takahara.