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math.DG2018★ 1 cited
On the Lichnerowicz conjecture for CR manifolds with mixed signature
Jeffrey S. Case, Sean N. Curry, Vladimir S. Matveev
We construct examples of nondegenerate CR manifolds with Levi form of signature , , which are compact, not locally CR flat, and admit essential CR vector fiel…
math.DG2015
CR embedded submanifolds of CR manifolds
Sean N. Curry, A. Rod Gover
We develop a complete local theory for CR embedded submanifolds of CR manifolds in a way which parallels the Ricci calculus for Riemannian submanifold theory. In particular, we est…
math.DG2014★ 5 cited
An introduction to conformal geometry and tractor calculus, with a view to applications in general relativity
Sean Curry, A. Rod Gover
The following are expanded lecture notes for the course of eight one hour lectures given by the second author at the 2014 summer school Asymptotic Analysis in General Relativity he…