The global theory of minimal surfaces in flat spaces
Subtitle: lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Martina Franca, Italy, June 7-14, 1999
By: W. H. Meeks III, A. Ros, H. Rosenberg ; editor, Gian Pietro Pirola.
Contributors: Ros, A. 1957-; Rosenberg, H. 1941-; Pirola, Gian Pietro.; Centro internazionale matematico estivo.
Series: Lecture notes in mathematics,; 1775; Lecture notes in mathematics (Springer-Verlag) ;; 1775.
Publisher: Springer
Published: 2002
Place of publication: Berlin; New York
Language: eng
Number of pages: 116
Subjects: Minimal surfaces -- Congresses
Genres: Congresses.
Description: In the second half of the twentieth century the global theory of minimal surface in flat space had an unexpected and rapid blossoming. Some of the classical problems were solved and new classes of minimal surfaces found. Minimal surfaces are now studied from several different viewpoints using methods and techniques from analysis (real and complex), topology and geometry. In this lecture course, Meeks, Ros and Rosenberg, three of the main architects of the modern edifice, present some of the more recent methods and developments of the theory. The topics include moduli, asymptotic geometry and surfaces of constant mean curvature in the hyperbolic space.
Notes: Includes bibliographical references.