Special Curves and Tubes in the BCV-Sasakian Manifold

In this study, theorems and proofs related to spherical and focal curves are presented in the BCV-Sasakian space. An approximate solution to the differential equation characterizing spherical curves in the BCV-Sasakian manifold M3 is obtained using the Taylor matrix collocation method. The general equations of canal and tubular surfaces are provided within this geometric framework. Additionally, the curvature properties of the tubular surface constructed around a non-vertex focal curve are computed and analyzed. All of these results are presented for the first time in the literature within the context of the BCV-Sasakian geometry. Thus, this study makes a substantial contribution to the differential geometry of contact metric manifolds by extending classical concepts into a more generalized and complex geometric structure.

Journal

SYMMETRY-BASEL

Year

2025

Volume

17

Issue

8

eISSN

2073-8994

DOI

10.3390/sym17081215

WoS UID

WOS:001558302800001