Surfaces with Constant Mean Curvature (Translations of Mathematical Monographs, Volume 221). Dieser Artikel ist nicht verfügbar.Surfaces with Constant Mean Curvature (Translations of Mathematical Monographs, Volume 221)

Ever since the nontrivial example of the constant curvature torus was discovered in 1984, many other examples of constant but nonzero mean curvature surfaces have been discovered using analysis, differential geometry, and differential equations. This book presents numerous examples of these surfaces and techniques for studying them. Chapters include defining smooth surfaces, the mathematical and physical meaning of the mean curvature, study of constant mean curvature surfaces via Gauss maps, and existence theorems for surfaces with or without boundaries. Knowledge of calculus (at least through Green's theorem), linear algebra, and elementary differential geometry is recommended. The book is reprinted with minor revisions from Kenmotsu's 1942 monograph, and partly based on his lectures at Tohoku U., Kanazawa U., and Federal U. of Ceará. Annotation ©2004 Book News, Inc., Portland, OR (booknews.com)