317 research outputs found
Basic differential forms for actions of Lie groups
A section of a Riemannian -manifold is a closed submanifold
which meets each orbit orthogonally. It is shown that the algebra of
-invariant differential forms on which are horizontal in the sense that
they kill every vector which is tangent to some orbit, is isomorphic to the
algebra of those differential forms on which are invariant with
respect to the generalized Weyl group of this orbit, under some condition.Comment: 10 pages, ESI Preprint 87, AmSTe
The homotopy type of the space of degree 0 immersed plane curves
The space of all immersed closed curves of rotation degree 0 in the plane
modulo reparametrizations has the same homotopy groups as the circle times the
2-sphere.Comment: 7 page
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