Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1412-24
Keywords
Paracontact metric manifold, invariant distribution, paracontact-holomorphic vector field
First Page
467
Last Page
476
Recommended Citation
CRASMAREANU, M, & PISCORAN, L. I (2015). Invariant distributions and holomorphic vector fields in paracontact geometry. Turkish Journal of Mathematics 39 (4): 467-476. https://doi.org/10.3906/mat-1412-24
