Classification of f-Biharmonic Curves in Lorentz–Minkowski Space

Abstract

In this paper, we firstly derived the equations for the curves of a Lorentz–Minkowski space L3 to be f-biharmonic. Then, using these equations, we classify such unit speed curves in L3.

Slant helices in Minkowski 3-space E31 with Sasai’s modified frame fields

“…A curve ϕ parametrized by the arc length 's' is a f -biharmonic unit speed curve in E 3 1 if and only if [8] ∇…”

f-Biharmonic Curves in the Three-dimensional Para-Sasakian Space Forms

“…A map φ is called f −biharmonic if its f −bitension field vanishes (see [1], [4]). Non-harmonic and non-biharmonic f −biharmonic curves are called proper f −biharmonic curves, and if f is constant, then an f −biharmonic curve turns into a biharmonic curve [4].…”

“…Karaca and Ozgur investigated f −biharmonic curves in Sol spaces, Cartan Vranceanu three-dimensional spaces and homogenous contact three-manifolds [3]. Dua and Zhang examined f −biharmonic curves in Lorentz-Minkowski spaces [1].…”

Polymer‐Based MEMS Sensor for Label‐Free Chikungunya Virus Detection

“…Advantages such as low power consumption, biocompatibility, and small size [1] have led to the use of MEMS in the medical field extensively for therapeutic systems, precision surgery, Lab-on-Chip, Drug delivery systems, detection of diseases, tissue engineering, micro-fluids, medical implants, and others. MEMS in the medical field uses different actuation methods like optical, piezoresistive, electrostatic, or piezoelectric for diagnosing various diseases such as hepatitis virus, [2] cancer, [3] virus detection, [4][5][6] Parkinson's, [7] HIV, [8] swine flu, [9] tuberculosis, [10] and many more.…”