Paper Search Console

Home Search Page About Contact

Journal Title

Title of Journal: Adv Appl Clifford Algebras

Search In Journal Title:

Abbravation: Advances in Applied Clifford Algebras

Search In Journal Abbravation:

Publisher

SP Birkhäuser Verlag Basel

Search In Publisher:

DOI

10.1002/jbm.a.36012

Search In DOI:

ISSN

1661-4909

Search In ISSN:
Search In Title Of Papers:

On the Quaternionic Emphasis Type="Italic"B/Emp

Authors: İsmail Gök O Zeki Okuyucu Ferdağ Kahraman H Hilmi Hacisalihoğlu
Publish Date: 2011/03/20
Volume: 21, Issue: 4, Pages: 707-719
PDF Link

Abstract

In this paper we give a new definition of harmonic curvature functions in terms of B 2 and we define a new kind of slant helix which we call quaternionic B 2–slant helix in 4–dimensional Euclidean space E 4 by using the new harmonic curvature functions Also we define a vector field D which we call Darboux quaternion of the real quaternionic B 2–slant helix in 4–dimensional Euclidean space E 4 and we give a new characterization such as ``alpha I subset mathbb R rightarrow E4 is a quaternionic B 2–slant helix Leftrightarrow Hprime 2 KH 1 = 0 where H 2 H 1 are harmonic curvature functions and K is the principal curvature function of the curve α

Keywords:

References

.
Search In Abstract Of Papers:
Other Papers In This Journal:
  1. Twistors in Geometric Algebra
  2. On Polynomial Solutions of Generalized Moisil-Théodoresco Systems and Hodge-de Rham Systems
  3. Geometric Algebra to Model Uncertainties in the Discretizable Molecular Distance Geometry Problem
  4. Half Dirichlet Problems and Decompositions of Poisson Kernels
  5. Differential Operators Associated to the Cauchy-Fueter Operator in Quaternion Algebra
  6. Properties of Solutions to A-Harmonic System and A-Dirac System
  7. Matrix Mechanics of the Relativistic Point Particle and String in Clifford Space
  8. Harmonic Forms on Conformal Euclidean Manifolds: The Clifford Multivector Approach
  9. Two Novel Algebraic Techniques for Quaternion Least Squares Problems in Quaternionic Quantum Mechanics
  10. Operator Identities in q -Deformed Clifford Analysis
  11. Inverse Kinematics for a 6-DOF Walking Humanoid Robot Leg
  12. (1,1)-Forms Acting on Spinors on Kähler Surfaces
  13. Multiplicative Representation of a Hyperbolic non Distributive Algebra
  14. An Efficient Method for Solving Equations in Generalized Quaternion and Octonion Algebras
  15. The octonions form an Azumaya algebra in certain braided linear Gr-categories
  16. On the Geometry of the Hyperbolic Scator Space in 1+2 Dimensions
Search Result: