Abstract
One studies, using Riemannian foliation theory, some aspects of the intrinsic and extrinsic geometry of small tubes about the flow lines of the characteristic vector field on a Sasakian manifold. In particular, one focuses on some characteristic properties of the shape operator and the Ricci operator of these tubes for the classes of ϕ-symmetric spaces and Sasakian space forms.
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Supported by the Foundation for Science, Republic of Serbia, Yugoslavia.
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Djorić, M., Vanhecke, L. Geometry of tubes about characteristic curves on Sasakian manifolds. Rend. Circ. Mat. Palermo 41, 111–122 (1992). https://doi.org/10.1007/BF02844468
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DOI: https://doi.org/10.1007/BF02844468