This volume covers a broad range of subjects in modern geometry and related branches of mathematics, physics and computer science. Most of the papers show new, interesting results in Riemannian geometry, homotopy theory, theory of Lie groups and Lie algebras, topological analysis, integrable systems, quantum groups, and noncommutative geometry. There are also papers giving overviews of the recent achievements in some special topics, such as the Willmore conjecture, geodesic mappings, Weyl's tube formula, and integrable geodesic flows. This book provides a great chance for interchanging new results and ideas in multidisciplinary studies.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings (ISTP ROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical SciencesContents: Invariant Structures Generated by Lie Group Automorphisms on Homogenous Spaces (V V Balashchenko)Integrable Geodesic Flows on Riemannian Manifolds: Construction and Obstructions (A V Bolsinov & B Jovanović)Non-Archimedean Geometry and Physics on Adelic Spaces (B Dragovich)Willmore Submanifolds in a Riemannian Manifold (Z Hu & H Li)Visualisation and Animation in Differential Geometry (E Malkowsky & V Veličković)Computer Gluing of 2D Projective Images (G V Nosovskiy)On Rational Homotopy of Four-Manifolds (S Terzić)Special Classes of Three Dimensional Affine Hyperspheres Characterized by Properties of Their Cubic Form (L Vrancken)and other papersReadership: Researchers in geometry & topology, nonlinear science and dynamical systems.