Prospects Of Differential Geometry And Its Related Fields: Proceedings Of The 3rd International Colloquium On Differential Geometry And Its Related Fields, 1st Edition

  • Published By: World Scientific Publishing Company
  • ISBN-10: 9814541818
  • ISBN-13: 9789814541817
  • DDC: 516.36
  • Grade Level Range: College Freshman - College Senior
  • 244 Pages | eBook
  • Original Copyright 2013 | Published/Released January 2015
  • This publication's content originally published in print form: 2013

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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.

Table of Contents

Front Cover.
Half Title Page.
Title Page.
Copyright Page.
Organizing and Scientific Advisory Committees.
1: Geometry of Biharmonic Maps: L2-Rigidity, Biharmonic Lagrangian Submanifolds of Kähler Manifolds, and Conformal Change of Metrics.
2: Homogeneous Einstein Metrics on Generalized Flag Manifolds with G2-Type t-Roots.
3: Applications of the Gaussian Integers in Coding Theory.
4: A Survey on Generalized Liouville Manifolds.
5: The Relativistic Non-Linear Quantum Dynamics from the ℂPN−1 Geometry.
6: Wave Equations, Integral Transforms, and Twistor Theory on Indefinite Geometry.
7: A Dynamical Systematic Aspect of Horocyclic Circles in a Complex Hyperbolic Space.
8: Volume Densities of Trajectory-Balls and Trajectory-Spheres for Kähler Magnetic Fields.
9: Geometric Group Structures and Trajectories of Rational Bézier Curves.
10: On Geometrical Structures on S3 × S3 in the Octonions.
11: On a Moduli Theory of Minimal Surfaces.
12: The Relationships Between G2-Invariants and SO(7)-Invariants of Curves in Im ℭ.
13: Statistical Manifolds and Geometry of Estimating Functions.
14: α-Connections on Level Surfaces in a Hessian Domain.
15: Ruled Complex Lagrangian Submanifolds of Dimension Two in C4.