This collection contains articles that present recent results by geometers in Russia and the Ukraine. Papers in the collection deal with various questions related to the structure, symmetries, and embeddings of submanifolds in Euclidean and pseudo-Euclidian spaces. This collection offers a review of the challenges facing specialists in geometry in the large and features current research in the field.

This volume is published in cooperation with MIR Publishers (Moscow).

Readership

Graduate students and research mathematicians interested in differential geometry.

Table of Contents

• S. V. Buyalo -- Three-manifolds with Cr-structure
• V. F. Ignatenko -- Algebraic surfaces with an infinite set of skew symmetry planes. Mutual arrangement of linear spans of four orbits of symmetry directions
• A. V. Kuz'minykh -- Curves and discontinua with paradoxical geometric properties
• V. A. Kuznetsov -- Structure of the neighborhood of an isolated zero of the Lipshits-Killing curvature on a surface which is not 0-tight
• A. D. Milka -- Space-like convex surfaces in pseudo-Euclidean spaces
• G. Poznyak and E. V. Shikin -- Small parameters in the theory of isometric imbeddings of two-dimensional Riemannian manifolds in Euclidean spaces