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A Property of Lie Group Orbits
Published online by Cambridge University Press: 20 November 2018
Abstract
Let $G$ be a real Lie group and
$X$ a real analytic manifold. Suppose that
$G$ acts analytically on
$X$ with finitely many orbits. Then the orbits are subanalytic in
$X$. As a consequence we show that the micro-support of a
$G$-equivariant sheaf on
$X$ is contained in the conormal variety of the
$G$-action.
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- Copyright © Canadian Mathematical Society 2000