Overview

This volume consists of contributions by the main participants of the 3rd International Colloquium on Differential Geometry and its Related Fields (ICDG2012), which was held in Veliko Tarnovo, Bulgaria. Readers will find original papers by specialists and well-organized reports of recent developments in the fields of differential geometry, complex analysis, information geometry, mathematical physics and coding theory. This volume provides significant information that will be useful to researchers and serves as a good guide for young scientists. It is also for those who wish to start investigating these topics and interested in their interdisciplinary areas.Contents: Geometry of Biharmonic Maps: L 2-Rigidity, Biharmonic Lagrangian Submanifolds of Kahler Manifolds, and Conformal Change of Metrics (Hajime URAKAWA) Homogeneous Einstein Metrics on Generalized Flag Manifolds with G 2-Type t-Roots (Andreas ARVANITOYEORGOS, Ioannis CHRYSIKOS and Yusuke SAKANE) Applications of the Gaussian Integers in Coding Theory (Stefka BOUYUKLIEVA) A Survey on Generalized Liouville Manifolds (Midori GOTO) The Relativistic Non-Linear Quantum Dynamics from the P N -1 Geometry (Peter LEIFER) Wave Equations, Integral Transforms, and Twistor Theory on Indefinite Geometry (Fuminori NAKATA) A Dynamical Systematic Aspect of Horocyclic Circles in a Complex Hyperbolic Space (Toshiaki ADACHI) Volume Densities of Trajectory-Balls and Trajectory-Spheres for Kahler Magnetic Fields (Pengfei BAI) Geometric Group Structures and Trajectories of Rational Bezier Curves (Milen J HRISTOV) On Geometrical Structures on S3 x S3 in the Octonions (Hideya HASHIMOTO and Misa OHASHI) On a Moduli Theory of Minimal Surfaces (Norio EJIRI and Toshihiro SHODA) The Relationships Between G 2-Invariants and SO (7)-Invariants of Curves in Im \mathfrak{C} (Misa OHASHI) Statistical Manifolds and Geometry of Estimating Functions (Hiroshi MATSUZOE) -Connections on Level Surfaces in a Hessian Domain (Keiko UOHASHI) Ruled Complex Lagrangian Submanifolds of Dimension Two in 4 (Norio EJIRI) Readership: Professionals, researchers and graduate students in differential geometry, complex analysis, probability theory and mathematical physics.

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