2 citations · 2 across the 4 of their papers we have counts for
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A Frobenius theorem for Cartan geometries, with applications
Karin Melnick
We prove analogues for Cartan geometries of Gromov's major theorems on automorphisms of rigid geometric structures. The starting point is a Frobenius theorem, which says that infin…
An embedding theorem for automorphism groups of Cartan geometries
Uri Bader, Charles Frances, Karin Melnick
We prove a theorem relating the automorphism group of a Cartan geometry to the group on which the geometry is modeled: a component of the adjoint representation of the first embeds…
Compact Lorentz manifolds with local symmetry
Karin Melnick
We prove a structure theorem for compact aspherical Lorentz manifolds with abundant local symmetry. If M is a compact, aspherical, real-analytic, complete Lorentz manifold such tha…
Isometric actions of Heisenberg groups on compact Lorentz manifolds
Karin Melnick
We prove results toward classifying compact Lorentz manifolds on which Heisenberg groups act isometrically. We give a general construction, leading to a new example, of codimension…