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An outer billard map F is defined outside a closed convex curve Γ in the
following way. Let z be a point on the plane. Consider the supporting
line L(z) from z to Γ such that Γ lies on the rig...
The dynamics of
uids are often studied through the reduction of partial di erential
equations to systems with only a few degrees of freedom. Analysis of these low dimensional
vector elds remains ...
On the curvature of G-manifolds with finitely many non-principal orbits
G-manifold cohomogeneity Ricci curvature
2011/9/20
Abstract: We investigate the curvature of invariant metrics on G-manifolds with finitely many non-principal orbits. We prove existence results for metrics of positive Ricci curvature and non-negative ...
In this paper, we give a characterization of existence of a dense orbit for the action on Cn of an abelian affine subgroup G of GA(n,C). We prove in particular that if G has a dense orbit then the clo...