# Geometry

## 1108 Submissions

[2] **viXra:1108.0023 [pdf]**
*replaced on 2012-05-23 00:58:20*

### Equidistant Curve Coordinate System

**Authors:** Morio Kikuchi

**Comments:** 13 Pages.

An isometry is realized between disk of which radius is not limited to 1 and upper half-plane. Metrics are the same in both regions when equidistant curve coordinate system is used.

**Category:** Geometry

[1] **viXra:1108.0008 [pdf]**
*submitted on 4 Aug 2011*

### A New Approach on Smarandache tn1 Curves in terms of Spacelike Biharmonic Curves with a Timelike Binormal in the Lorentzian Heisenberg Group Heis

**Authors:** T Körpinar, E Turhan

**Comments:** 8 pages

In this paper, we study spacelike biharmonic curve with a timelike binormal in the Lorentzian
Heisenberg group Heis. We define a special case of such curves and call it Smarandache tn_{1} curves
in the Lorentzian Heisenberg group Heis. We construct parametric equations of Smarandache tn_{1}
curves in terms of spacelike biharmonic curves with a timelike binormal in the Lorentzian Heisenberg
group Heis

**Category:** Geometry