A New Version of Time-Pencil Surfaces Around Biharmonic Particles and Its Lorentz Transformations in Heisenberg Spacetime

In this work, we obtain the new parametric representation for a pencil surface in Heisenberg spacetime H1, 4. We give a geometrical description of time-pencil surfaces around timelike biharmonic particle in H1, 4. Moreover, we obtain Lorentz transformations this particles. Additionally, we illustrate some pictures corresponding to different cases for second torsionless. © 2014, Springer Science+Business Media New York