8 citations · 32 across the 16 of their papers we have counts for
21 papers
A local Lorentzian Ferrand-Obata theorem for conformal vector fields
Sorin Dumitrescu, Charles Frances, Karin Melnick +2
For a conformal vector field on a closed, real-analytic, Lorentzian manifold we prove that the flow is locally isometric -- that it preserves a metric in the conformal class on a n…
An Embedding Theorem for Tractor Bundles, and an Application in Conformal Pseudo-Riemannian Geometry
Karin Melnick, Katharina Neusser
We provide an extension of the Gromov-Zimmer embedding theorem for Cartan geometries of [Bader U., Frances C., Melnick K., Geom. Funct. Anal. 19 (2009), 333-355, arXiv:0709.3844] t…
Classification of closed conformally flat Lorentzian manifolds with unipotent holonomy
Rachel Lee, Karin Melnick
We classify closed, conformally flat Lorentzian manifolds of dimension with unipotent holonomy in PO(2,n). They are all Kleinian and fall into four different geometric t…
Smooth and analytic actions of and on closed -dimensional manifolds
David Fisher, Karin Melnick
The main result is a classification of smooth actions of , , or connected groups locally isomorphic to it, on closed -manifolds, extending a theorem of…
The Lorentzian Lichnerowicz Conjecture for real-analytic, three-dimensional manifolds
Charles Frances, Karin Melnick
Given a compact, three-dimensional, real-analytic Lorentzian manifold , we prove that the identity component of the conformal group preserves a metric in the conformal class…
Rigidity of transformation groups in differential geometry
Karin Melnick
In this survey, symmetry provides a framework for classification of manifolds with differential-geometric structures. We highlight pseudo-Riemannian metrics, conformal structures,…