p. 201 - 212 Non-degenerate surfaces of revolution in Minkowski space that satisfy the relation aH + bK = c R. López, Ö. Boyacioğlu Kalkan, D. Saglam Received: April 19, 2010; Revised: July 1, 2011; Accepted: April 14, 2011 Abstract. In this work we study spacelike and timelike surfaces of revolution in Minkowski space E13 that satisfy the linear Weingarten relation aH + bK = c, where H and K denote the mean curvature and the Gauss curvature of the surface and a, b and c are constants. The classification depends on the causal character of the axis of revolution, We will give a first integral of the equation of the generating curve of the surface, obtaining explicit solutions for some particular choices of the constants a, b and c. Also, we completely solve the equation when the axis of revolution of the surface is lightlike. Keywords: Minkowski space; surface of revolution; mean curvature; Gauss curvature. AMS Subject classification: Primary: 53A10 PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2011, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |