Abstract:We show that the boundaries of thin strongly pseudoconvex Grauert tubes, with respect to the Guillemin-Stenzel Kähler metric canonically associated with the Poincaré metric on closed hyperbolic real-analytic surfaces, has nowhere vanishing Cartan CR-curvature. This result provides a wealth of examples of compact 3-dimensional Levi nondegenerate CR manifolds having no CR-umbilical point.We provide two proofs utilizing two recent formulas for determining the Cartan CR-curvature of any local C 6 -smooth hypersurf… Show more
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