Abstract
The purpose of this paper is to study 3-dimensional paraSasakian manifold and conformally flat K-paracontact manifold. Moreover, we show that in a K-paracontact manifold the conditions Einstein, conformally flat, semi-symmetric and Ricci semi-symmetric are all equivalent. Finally, compact regular 3-dimensional paraSasakian and conformally flat K-paracontact manifolds are studied.
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Venkatesha, Naik, D.M. Certain results on K-paracontact and paraSasakian manifolds. J. Geom. 108, 939–952 (2017). https://doi.org/10.1007/s00022-017-0387-x
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DOI: https://doi.org/10.1007/s00022-017-0387-x