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Author: Kouei Sekigawa Publisher: American Institute of Physics ISBN: 9780735408951 Category : Mathematics Languages : en Pages : 0
Book Description
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.
Author: Kouei Sekigawa Publisher: American Institute of Physics ISBN: 9780735408951 Category : Mathematics Languages : en Pages : 0
Book Description
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.
Author: Stancho Dimiev Publisher: World Scientific ISBN: 9814467464 Category : Mathematics Languages : en Pages : 290
Book Description
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.
Author: Kouei Sekigawa Publisher: World Scientific ISBN: 9814475025 Category : Mathematics Languages : en Pages : 350
Book Description
This volume contains the contributions by the participants in the eight of a series workshops in complex analysis, differential geometry and mathematical physics and related areas.Active specialists in mathematical physics contribute to the volume, providing not only significant information for researchers in the area but also interesting mathematics for non-specialists and a broader audience. The contributions treat topics including differential geometry, partial differential equations, integrable systems and mathematical physics.
Author: Frank Nielsen Publisher: Springer ISBN: 3319684450 Category : Computers Languages : en Pages : 877
Book Description
This book constitutes the refereed proceedings of the Third International Conference on Geometric Science of Information, GSI 2017, held in Paris, France, in November 2017. The 101 full papers presented were carefully reviewed and selected from 113 submissions and are organized into the following subjects: statistics on non-linear data; shape space; optimal transport and applications: image processing; optimal transport and applications: signal processing; statistical manifold and hessian information geometry; monotone embedding in information geometry; information structure in neuroscience; geometric robotics and tracking; geometric mechanics and robotics; stochastic geometric mechanics and Lie group thermodynamics; probability on Riemannian manifolds; divergence geometry; non-parametric information geometry; optimization on manifold; computational information geometry; probability density estimation; session geometry of tensor-valued data; geodesic methods with constraints; applications of distance geometry.
Author: Stancho Dimiev Publisher: World Scientific ISBN: 9814545899 Category : Languages : en Pages : 234
Book Description
The Third International Workshop on Complex Structures and Vector Fields was held to exchange information on current topics in complex analysis, differential geometry and mathematical physics, and to find new subjects in these fields.This volume contains many interesting and important articles in complex analysis (including quaternionic analysis), functional analysis, topology, differential geometry (hermitian geometry, surface theory), and mathematical physics (quantum mechanics, hamilton mechanics).
Author: Stancho Dimiev Publisher: World Scientific ISBN: 9812707905 Category : Mathematics Languages : en Pages : 350
Book Description
This volume contains the contributions by the participants in the eight of a series workshops in complex analysis, differential geometry and mathematical physics and related areas.Active specialists in mathematical physics contribute to the volume, providing not only significant information for researchers in the area but also interesting mathematics for non-specialists and a broader audience. The contributions treat topics including differential geometry, partial differential equations, integrable systems and mathematical physics.
Author: Piotr Kielanowski Publisher: Springer Science & Business Media ISBN: 3034804482 Category : Mathematics Languages : en Pages : 431
Book Description
The Białowieża workshops on Geometric Methods in Physics are among the most important meetings in the field. Every year some 80 to 100 participants from both mathematics and physics join to discuss new developments and to interchange ideas. This volume contains contributions by selected speakers at the XXX meeting in 2011 as well as additional review articles and shows that the workshop remains at the cutting edge of ongoing research. The 2011 workshop focussed on the works of the late Felix A. Berezin (1931–1980) on the occasion of his 80th anniversary as well as on Bogdan Mielnik and Stanisław Lech Woronowicz on their 75th and 70th birthday, respectively. The groundbreaking work of Berezin is discussed from today’s perspective by presenting an overview of his ideas and their impact on further developments. He was, among other fields, active in representation theory, general concepts of quantization and coherent states, supersymmetry and supermanifolds. Another focus lies on the accomplishments of Bogdan Mielnik and Stanisław Lech Woronowicz. Mielnik’s geometric approach to the description of quantum mixed states, the method of quantum state manipulation and their important implications for quantum computing and quantum entanglement are discussed as well as the intricacies of the quantum time operator. Woronowicz’ fruitful notion of a compact quantum group and related topics are also addressed.
Author: Ivaïlo M. Mladenov Publisher: Springer ISBN: 3319612441 Category : Mathematics Languages : en Pages : 223
Book Description
This book provides an introduction to the mathematical aspects of Euler's elastic theory and its application. The approach is rigorous, as well as visually depicted, and can be easily digested. The first few chapters introduce the needed mathematical concepts from geometry and variational calculus. The formal definitions and proofs are always illustrated through complete derivations and concrete examples. In this way, the reader becomes acquainted with Cassinian ovals, Sturmian spirals, co-Lemniscates, the nodary and the undulary, Delaunay surfaces, and their generalizations. The remaining chapters discuss the modeling of membranes, mylar balloons, rotating liquid drops, Hele-Shaw cells, nerve fibers, Cole's experiments, and membrane fusion. The book is geared towards applied mathematicians, physicists and engineers interested in Elastica Theory and its applications.
Author: Kouei Sekigawa Publisher: World Scientific ISBN: 9814549843 Category : Languages : en Pages : 234
Book Description
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.
Author: Stancho Dimiev Publisher: World Scientific ISBN: 9812704191 Category : Mathematics Languages : en Pages : 248
Book Description
The Sixth International Workshop on Complex Structures and Vector Fields was a continuation of the previous five workshops (1992, 1994, 1996, 1998, 2000) on similar research projects. This series of workshops aims at higher achievements in studies of new research subjects. The present volume will meet with the satisfaction of many readers.
Author: Kouei Sekigawa
Author: Kouei Sekigawa
Author: Stancho Dimiev
Author: Kouei Sekigawa
Author: Frank Nielsen
Author: Stancho Dimiev
Author: Stancho Dimiev
Author: Piotr Kielanowski
Author: Ivaïlo M. Mladenov
Author: Kouei Sekigawa
Author: Stancho Dimiev