Invariant distributions and holomorphic vector fields in paracontact geometry

Authors: MIRCEA CRASMAREANU, LAURIAN IOAN PISCORAN

Abstract: Having as a model the metric contact case of V. Brînzănescu; R. Slobodeanu, we study two similar subjects in the paracontact (metric) geometry: a) distributions that are invariant with respect to the structure endomorphism $\varphi $; b) the class of vector fields of holomorphic type. As examples we consider both the $3$-dimensional case and the general dimensional case through a Heisenberg-type structure inspired also by contact geometry.

Keywords: Paracontact metric manifold, invariant distribution, paracontact-holomorphic vector field

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