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- Title
CONFORMAL VECTOR FIELDS ON N(k)-PARACONTACT AND PARA-KENMOTSU MANIFOLDS.
- Authors
SARDAR, ARPAN; CHAND DE, UDAY
- Abstract
In this article, we initiate the study of conformal vector fields in paracontact geometry. First, we establish that if the Reeb vector field ζ is a conformal vector field on N(k)-paracontact metric manifold, then the manifold becomes a para-Sasakian manifold. Next, we show that if the conformal vector field V is pointwise collinear with the Reeb vector field ζ, then the manifold recovers a para-Sasakian manifold as well as V is a constant multiple of ζ. Furthermore, we prove that if a 3-dimensional N(k)-paracontact metric manifold admits a Killing vector field V, then either it is a space of constant sectional curvature k or, V is an infinitesimal strict paracontact transformation. Besides these, we also investigate conformal vector fields on para-Kenmotsu manifolds.
- Subjects
CONFORMAL invariants; COMPLEX variables; GEOMETRY; MATHEMATICS; FIXED point theory
- Publication
Miskolc Mathematical Notes, 2023, Vol 24, Issue 3, p1515
- ISSN
1787-2405
- Publication type
Article
- DOI
10.18514/MMN.2023.4098