## Tsukuba Journal of Mathematics

### On The Mean, Gauss, The Second Gaussian and The Second Mean Curvature of The Helicoidal Surfaces with Light-Like Axis in $\mathbb{R}^{3}$

#### Abstract

In this paper, the second Gaussian and the second mean curvature of the helicoidal surfaces with light-like axis of type $IV^{+}$ is obtained in Minkowski 3-space. In addition, some relations between the mean, Gauss, the second Gaussian and the second mean curvature of the helicoidal surfaces with light-like axis of type $IV^{+}$ are given in Minkowski 3-space.

#### Article information

Source
Tsukuba J. Math., Volume 32, Number 1 (2008), 49-65.

Dates
First available in Project Euclid: 30 May 2017

Permanent link to this document
https://projecteuclid.org/euclid.tkbjm/1496165192

Digital Object Identifier
doi:10.21099/tkbjm/1496165192

Mathematical Reviews number (MathSciNet)
MR2433017

Zentralblatt MATH identifier
1283.53008

#### Citation

Güler, Erhan; Vanli, Aysel Turght. On The Mean, Gauss, The Second Gaussian and The Second Mean Curvature of The Helicoidal Surfaces with Light-Like Axis in $\mathbb{R}^{3}$. Tsukuba J. Math. 32 (2008), no. 1, 49--65. doi:10.21099/tkbjm/1496165192. https://projecteuclid.org/euclid.tkbjm/1496165192