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On contact strongly pseudo-convex integrableCR manifolds
Authors:Amalendu Ghosh  Ramesh Sharma
Institution:(1) Department of Pure Mathematics, University of Calcutta, 700019 Calcutta, India;(2) Department of Mathematics, University of New Haven, 06516 West Haven, CT, USA
Abstract:It is shown that a locally symmetric contact strongly pseudo-convex integrableCR manifold of dimension greater than 3 and other than 7 is locally isometric to a unit sphere or the Riemannian product of an (n + 1)-dimensional Euclidean space and a sphere. A conformally flat contact strongly pseudo-convex integrableCR manifold is locally isometric to a unit sphere, provided the characteristic vector field is an eigenvector of the Ricci tensor at each point.
Keywords:
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