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math.DG2018★ 17 cited
Chains in CR geometry as geodesics of a Kropina metric
Jih-Hsin Cheng, Taiji Marugame, Vladimir S. Matveev +1
With the help of a generalization of the Fermat principle in general relativity, we show that chains in CR geometry are geodesics of a certain Kropina metric constructed from the C…
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…