on characterization of spacelike dual biharmonic curves in dual lorentzian heisenberg group

Authors

v. asil

abstract

in this paper, we study spacelike dual biharmonic curves. we characterize spacelike dual biharmonic curves in terms of their curvature and torsion in the lorentzian dual heisenberg group . we give necessary and sufficient conditions for spacelike dual biharmonic curves in the lorentzian dual heisenberg group . therefore, we prove that all spacelike dual biharmonic curves are spacelike dual helix. moreover, we give their explicit parametrizations of spacelike dual biharmonic curves. finally, we illustrate our main results in figs. 1 and 2.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

Contributions to differential geometry of spacelike curves in Lorentzian plane L2

‎In this work‎, ‎first the differential equation characterizing position vector‎ ‎of spacelike curve is obtained in Lorentzian plane $mathbb{L}^{2}.$ Then the‎ ‎special curves mentioned above are studied in Lorentzian plane $mathbb{L}%‎‎^{2}.$ Finally some characterizations of these special curves are given in‎ ‎$mathbb{L}^{2}.$‎

full text

1-type and biharmonic frenet curves in lorentzian 3-space*

1-type and biharmonic curves by using laplace operator in lorentzian 3-space arestudied and some theorems and characterizations are given for these curves.

full text

Self-dual polygons and self-dual curves

We study projectively self-dual polygons and curves in the projective plane. Our results provide a partial answer to problem No 1994-17 in the book of Arnold’s problems (2004).

full text

Dual Curves and Pseudoholomorphic Curves

A notion of dual curve for pseudoholomorphic curves in 4–manifolds turns out to be possible only if the notion of almost complex structure structure is slightly generalized. The resulting structure is as easy (perhaps easier) to work with, and yields many analogues of results in complex surface theory, using a description of the local geometry via Cartan’s method of equivalence. Duality then un...

full text

A characterization of L-dual frames and L-dual Riesz bases

This paper is an investigation of $L$-dual frames with respect to a function-valued inner product, the so called $L$-bracket product on $L^{2}(G)$, where G is a locally compact abelian group with a uniform lattice $L$. We show that several well known theorems for dual frames and dual Riesz bases in a Hilbert space remain valid for $L$-dual frames and $L$-dual Riesz bases in $L^{2}(G)$.

full text

contributions to differential geometry of spacelike curves in lorentzian plane l2

‎in this work‎, ‎first the differential equation characterizing position vector‎ ‎of spacelike curve is obtained in lorentzian plane $mathbb{l}^{2}.$ then the‎ ‎special curves mentioned above are studied in lorentzian plane $mathbb{l}%‎‎^{2}.$ finally some characterizations of these special curves are given in‎ ‎$mathbb{l}^{2}.$‎

full text

My Resources

Save resource for easier access later


Journal title:
iranian journal of science and technology (sciences)

ISSN 1028-6276

volume 37

issue 3.1 2013

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023