Advances in Soviet Mathematics 1993; 342 pp; hardcover Volume: 15 ISBN10: 0821841165 ISBN13: 9780821841167 List Price: US$176 Member Price: US$140.80 Order Code: ADVSOV/15
 This book contains recent results from a group focusing on minimal surfaces in the Moscow State University seminar on modern geometrical methods, headed by A. V. Bolsinov, A. T. Fomenko, and V. V. Trofimov. The papers collected here fall into three areas: onedimensional minimal graphs on Riemannian surfaces and the Steiner problem, twodimensional minimal surfaces and surfaces of constant mean curvature in threedimensional Euclidean space, and multidimensional globally minimal and harmonic surfaces in Riemannian manifolds. The volume opens with an exposition of several important problems in the modern theory of minimal surfaces that will be of interest to newcomers to the field. Prepared with attention to clarity and accessibility, these papers will appeal to mathematicians, physicists, and other researchers interested in the application of geometrical methods to specific problems. Readership Mathematicians, physicists, and other researchers interested in the application of geometrical methods to specific problems. Table of Contents  A. T. Fomenko  Minimization of length, area, and volume. Some solved and some unsolved problems in the theory of minimal graphs and surfaces
 A. O. Ivanov and A. A. Tuzhilin  The Steiner problem for convex boundaries, I: The general case
 A. O. Ivanov and A. A. Tuzhilin  The Steiner problem for convex boundaries, II: The regular case
 L. H. Vân  Effective calibrations in the theory of minimal surfaces
 I. S. Novikova  Minimal cones invariant under adjoint actions of compact Lie groups
 A. A. Tuzhilin  Global properties of minimal surfaces in \({\mathbb R}^3\) and \({\mathbb H}^3\) and their Morse type indices
 A. O. Ivanov  Calibration forms and new examples of globally minimal surfaces
 A. Borisenko  Ruled special Lagrangian surfaces
 A. Yu. Borisovich  Functionaltopological properties of the Plateau operator and applications to the study of bifurcations in problems of geometry and hydrodynamics
 A. V. Tyrin  Harmonic maps into Lie groups and the multivalued Novikov functional
