Spinor Q-Equations in Lorentzian 3-space E_1^3

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.

On the Spinor Representation of Surfaces in Euclidean 3-space. *

Wave equations on q-Minkowski space

We give a systematic account of the exterior algebra of forms on q-Minkowski space, introducing the q-exterior derivative, q-Hodge star operator, q-coderivative, q-LaplaceBeltrami operator and the q-Lie-derivative. With these tools at hand, we then give a detailed exposition of the q-d’Alembert and q-Maxwell equation. For both equations we present a q-momentum-indexed family of plane wave solut...

Hypersurfaces with Constant Mean Curvature in a Lorentzian Space Form

Configuration Space Spinor Structure

There are three separate approaches to the challenge of constructing WCW Kähler geometry and spinor structure. The first approach relies on a direct guess of Kähler function. Second approach relies on the construction of Kähler form and metric utilizing the huge symmetries of the geometry needed to guarantee the mathematical existence of Riemann connection. The third approach discussed in this ...