International Workshop On Complex Structures Integrability And Vector Fields
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Almost Complex Structures - Proceedings Of The International Workshop
The geometry of almost complex structures is fundamentally concerned with complex analysis and also mathematical physics. In view of the increasing interest in almost complex structures, this volume will be useful in future studies of geometry and complex analysis, and related fields.
International Workshop on Complex Structures, Integrability and Vector Fields
Author: Kouei Sekigawa
language: en
Publisher: American Institute of Physics
Release Date: 2011-07-20
The present workshop is aiming at the higher achievement of the studies of current topics ranging over differential geometry, Complex analysis and mathematical physics their future developments and their numerous applications. The present volume provides useful and significant information to the specialists in differential geometry, complex analysis and mathematical physics. It will be interesting also to a much broader audience of scholars and scientists working or interested in classical and quantum mechanics, in cell membranes, integrability and soliton interactions etc. Its geometric part includes homogeneous structures on almost contact metric spaces, geometric structures in four-manifolds and almost hermitian structures, complex connections on conformal Kähler manifolds, existence of compact hypersurfaces with the second fundamental form of constant length, linear Weingarten surfaces in a hyperbolic three-space, pre-contrast functions and their geometric properties, and further, fibre bundle formulation of Lagrangian quantum field theory, curvature forms and interaction of fields concerning geometrical setting in mathematical physics. The part on integrability and vector fields is devoted to the study of multicomponent nonlinear Schrodinger (MNLS) equations which play important role for understanding hydro-dynamical processes, the phenomena of Bose-Einstein condensates, etc. The symmetries of these MNLS equations are also studied, as well as their reductions and Lie algebraic properties. The third part of these proceedings treats problems of contemporary mechanics and mathematical physics. The methods of differential geometry quite unexpectedly provide important tool for modeling and studying microinjections in cell membranes, the equilibrium.
Trends In Differential Geometry, Complex Analysis And Mathematical Physics - Proceedings Of 9th International Workshop On Complex Structures, Integrability And Vector Fields
This book contains the contributions by the participants in the nine of a series of workshops. Throughout the series of workshops, the contributors are consistently aiming at higher achievements of studies of the current topics in complex analysis, differential geometry and mathematical physics and further in any intermediate areas, with expectation of discovery of new research directions. Concerning the present one, it is worthwhile to mention that, in addition to the new developments of the traditional trends, many attractive and pioneering works were presented and their results were contributed to the present volume. The contents of this volume therefore will provide not only significant and useful information for researchers in complex analysis, differential geometry and mathematical physics (including their related areas), but also interesting mathematics for non-specialists and a broad audience. The present volume contains new developments and trends in the studies on constructions of holomorphic Cliffordian functions; the swelling constructions of minimal surfaces with higher genus in flat tori; the spectral properties of soliton equations on symmetric spaces; new types of shallow water waves described by Camassa-Holm type equations, the properties of pseudo-hermitian boson and fermion coherent states; fractals and chaos on orthorhombic lattices, and even an ambitious proposal of a graph model for Kaehler manifolds with Kaehler magnetic fields.