An introduction to CMC surfaces in the homogeneous spaces E(?,?). Immersed surfaces in E(?,?)

      Аннотация: This book is devoted to students as well as professors who are interested in Differential Geometry. In particular, in the study of the theory of constant mean curvature surfaces (CMC for short) immersed in the simply connected, complete, three-dimensional homogeneous spaces. The goal of this book is a breve introduction to the study of the geometric behaviour of such CMC surfaces. Also we deal with some conditions to existence and non-existence of such surfaces.

Ключевые слова: differential geometry, Homogenous spaces, Thurston geometry, Invariant surfaces, Constant mean curvature surfaces, Half-space theorem, Multi-graphs, Screw-motion surfaces