General Mathematics, Vol. 5, No. 1 - 4, pp. 277-280, 1995


Marian-Ioan Munteanu -- CR-structures on the Translated Sphere Bundle


Abstract: In this paper there are found the condition under which we have induced $CR-$ structure on the translated sphere bundle thought of as hypersurface of $TM$ (generalization of the results from [1], [5], [6], [9]). $(M,g)$ is a Riemannian manifold and $(TM,\bar g)$ is its tangent bundle endowed with the Sasaki metric $\bar g.$ The usual almost complex structure is determined by the endomorphism $J;$ then $(TM,J,\bar g)$ is almost K\"ahlerian.

Classification (MSC91): 53B15, 53C15, 53C25

Keywords: Tangent bundle, CR-structure

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