Extended cross product in a 3-dimensional almost contact metric manifold with applications to curve theory

Authors

ÇETİN CAMCI

DOI

10.3906/mat-0910-103

Abstract

In this work, we define a new cross product in 3-dimensional almost contact metric manifold and we study the theory of curves using this new cross product in this manifold. Besides, in the works of Baikousis, Blair [1] and Cho et al. [4], we observe that some theorems are incomplete and excessively generalized are thus their alternative proofs presented.

Keywords

Sasakian Manifold, Legendre curve, cross product

First Page

305

Last Page

318

Recommended Citation

CAMCI, ÇETİN (2012) "Extended cross product in a 3-dimensional almost contact metric manifold with applications to curve theory," Turkish Journal of Mathematics: Vol. 36: No. 2, Article 12. https://doi.org/10.3906/mat-0910-103
Available at: https://journals.tubitak.gov.tr/math/vol36/iss2/12