IJPAM: Volume 82, No. 1 (2013)

THE INVERSE SURFACES OF TANGENT DEVELOPABLE
OF A TIMELIKE CURVE IN MINKOWSKI SPACE $\mathbb{E}_{1}^{3}$

M. Evren Aydin$^1$, Mahmut Ergüt$^2$
Department of Mathematics
Firat University
Elazig, 23119, TURKEY


Abstract. In this paper, we study inverse surfaces in Minkowski space $\mathbb{E}_{1}^{3}.$ We obtain various relations between these surfaces. Also we give some necessary and sufficient conditions so that the the inverse surface of tangent developable of a timelike curve is flat or minimal in $\mathbb{E}_{1}^{3}$.

Received: September 11, 2012

AMS Subject Classification: 11A25, 53B30

Key Words and Phrases: inverse surface, timelike curve, tangent developable surface

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 82
Issue: 1