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Pseudo-symmetric contact 3-manifolds II - When is the tangent sphere bundle over a surface pseudo-symmetric?


Abstract


The tangent sphere bundles over surfaces are pseudo-symmetric if and only if the base surfaces are of constant curvature. It is pointed out that semi-symmetry of the tangent sphere bundle of a surface of constant positive curvature depends on the radius.

DOI Code: 10.1285/i15900932v27n1p119

Keywords: Pseudo-symmetry; Contact manifolds; Tangent sphere bundles

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