Minimal Surfaces (Advances in Soviet Mathematics) - AMS Book

Explore advanced mathematical research with Minimal Surfaces, part of the Advances in Soviet Mathematics series. This volume presents recent results from a specialized group at the Moscow State University seminar on modern geometrical methods. Led by A. V. Bolsinov, A. T. Fomenko, and V. V. Trofimov, the research contained in these pages addresses complex geometric problems through rigorous analysis. The collection is organized into three distinct areas of study to assist researchers and mathematicians. It covers one-dimensional minimal graphs on Riemannian surfaces and the Steiner problem, as well as two-dimensional minimal surfaces and surfaces of constant mean curvature in three-dimensional Euclidean space. Additionally, the text explores multidimensional globally minimal and harmonic surfaces in Riemannian manifolds. Starting with an exposition of several important problems, this book serves as a significant resource for those studying modern geometrical methods and Riemannian geometry. Published by the American Mathematical Society, it provides a deep look into the mathematical findings from the Moscow State University seminar.