IJPAM: Volume 39, No. 2 (2007)

ON DETERMINATION OF DEVELOPABLE
AND MINIMAL SURFACES

Ch. Mamaloukas
Department of Informatics
Athens University of Economics and Business
76 Patision Str., Athens, 10434, GREECE
e-mail: mamkris@aueb.gr


Abstract.The present manuscript presents a determination of developable and minimal surfaces. Given a curve c in $\Re ^{3}$, $T(c)$ is the surface of the tangent fibre bundle of $c$. The aim of this paper is to obtain some solutions in order to determine these surfaces, which are developable and also minimal.

Received: May 10, 2007

AMS Subject Classification: 53A04, 53A05, 53A99

Key Words and Phrases: developable surfaces, minimal surfaces, fundamental magnitudes, tangent fibre bundle of curve

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 39
Issue: 2