On Null Scrolls Satisfying the Condition $\Delta H = AH$

Jin Suk Pak; Dae Won Yoon

Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

QR
Code

Article

HOME

ALL ARTICLES

View

Commun. Korean Math. Soc. 2000; 15(3): 533-540

Printed September 1, 2000

On Null Scrolls Satisfying the Condition $\Delta H = AH$

Jin Suk Pak, Dae Won Yoon

Kyungpook National University, Kyungpook National University

Abstract

Go to

Abstract

In the present paper, we study a non-degenerate ruled surface along a null curve in a 3-dimensional Minkowski space $\Bbb E^3_1$, which is called a null scroll, and investigate some characterizations of null scrolls satisfying the condition $\Delta H= AH, A\in Mat(3,\Bbb R)$, where $\Delta $ denotes the Laplacian of the surface with respect to the induced metric, $H$ the mean curvature vector and $Mat(3,\Bbb R)$ the set of $3\times 3$-real matrices.

Keywords: null frame, null scroll, mean curvature vector, Minkowski space

MSC numbers: 53C25, 53C50