p. 29 - 36 Analytic Extension of a maximal surface in L3 along its boundary Doan The Hieu and Nguyen Van Hanh Received: September 20, 2007; Revised: Apri 11, 2008; Accepted: April 14, 2008 Abstract. We prove that a maximal surface in Lorentz-Minkowski space L3 can be extended analytically along its boundary if the boundary lies in a plane meeting the surface at a constant angle. Keywords: maximal surfaces, conelike singularities AMS Subject classification: Primary: 53C50; Secondary: 58D10, 53C42 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 © 2009, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |