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, MIRCEA and PISCORAN, LAURIAN IOAN
(2015)
"Invariant distributions and holomorphic vector fields in paracontact geometry,"
Turkish Journal of Mathematics: Vol. 39:
No.
4, Article 2.
https://doi.org/10.3906/mat-1412-24
Available at:
https://journals.tubitak.gov.tr/math/vol39/iss4/2
