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CONFORMAL VECTOR FIELDS ON N(k)-PARACONTACT AND PARA-KENMOTSU MANIFOLDS.
- Source :
-
Miskolc Mathematical Notes . 2023, Vol. 24 Issue 3, p1515-1525. 11p. - Publication Year :
- 2023
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CONFORMAL invariants
*COMPLEX variables
*GEOMETRY
*MATHEMATICS
*FIXED point theory
Subjects
Details
- Language :
- English
- ISSN :
- 17872405
- Volume :
- 24
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Miskolc Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 174194911
- Full Text :
- https://doi.org/10.18514/MMN.2023.4098