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