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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Formato: Electrónico eBook
Idioma:Inglés
Publicado: World Scientific 2009.
Temas:
Acceso en línea:Texto completo

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505 0 |a Cover13; -- CONTENTS -- Preface -- Organizing Committees -- Presentations -- A discrete model for Kahler magnetic fields on a complex hyperbolic space T. Adachi -- 1. Introduction -- 2. Kahler magnetic fields on complex hyperbolic spaces -- 3. Graphs of K ahler type -- 4. Counting prime cycles -- References -- Integrability condition on the boundary parameters of the asymmetric exclusion process and matrix product ansatz B. Aneva -- 1. Introduction -- 2. Matrix Product State Ansatz (MPA) -- 3. Detailed Balance and MPA -- 4. Conclusion -- Acknowledgments -- References -- Remarks on the double-complex Laplacian L. Apostolova -- 1. Double-complex Laplace operator -- 2. Decomposition of the double-complex Laplace operator into two @-operators -- 3. D'Alamber's type formula for the initial value problem in the whole space C(1; j) -- 4. Real representation of the equation +u = 0 -- Acknowledgements -- References -- Generalizations of conjugate connections O. Calin, H. Matsuzoe, J. Zhang -- Introduction -- 1. Generalizations of conjugate connections -- 2. Generalized conjugate connections and gauge transformations -- 3. Local triviality of generalized conjugate connections and equia ne structures -- Acknowledgement -- References -- Asymptotics of generalized value distribution for Herglotz functions Y.T. Christodoulides -- 1. Introduction -- 2. Herglotz functions and their integral representation -- 3. Value distribution for Herglotz functions -- Acknowledgement -- References -- Cyclic hyper-scalar systems S. Dimiev, M.S. Marinov, Z. Zhelev -- 1. Hyper-real systems: K = R -- 2. Hyper-complex systems -- 3. Real double-variables or para-complex variables -- 4. Four real variables, K = R -- 5. Four-real functions of four real variables -- 6. Partial derivatives with respect to the double-real variables and -- 7. Para-complex di erentiability -- 8. Hyper four-dimensional real scalar Hankel geometry [28211;4] -- Acknowledgments -- References -- Plane curves associated with integrable dynamical systems of the Frenet-Serret type P.A. Djondjorov, V.M. Vassilev, I.M. Mladenov -- 1. Dynamical systems of the Frenet-Serret type -- 2. Levy's elasticae -- 3. Profile curves of Delaunay's surfaces -- Acknowledgments -- References -- Relativistic strain and electromagnetic photon-like objects S. Donev, M. Tashkova -- 1. Strain -- 2. The Concept of photon-like object(s) -- 3. The Electromagnetic strain tensors -- 4. Discussion -- 5. Conclusion -- Acknowledgment -- References -- A construction of minimal surfaces in at tori by swelling N. Ejiri -- 1. Introduction -- 2. Preliminary -- 3. Minimal surfaces in Riemannian at tori -- References -- On NLS equations on BD. I symmetric spaces with constant boundary conditions V.S. Gerdjikov, N.A. Kostov -- 1. Introduction -- 2. MNLS eqs on BD. I-symmetric spaces -- 3. MNLS with Constant Boundary Conditions -- 4. Spectral properties of BD. I-type MNLS with CBC -- 5. Discussion -- References -- Orthogonal almost complex structures on S2 R4 H. Hashimoto, M. Ohashi -- 1. Introduction -- 2. Preliminaries -- 3. Hypersurfaces in ImC -- 4. On G frame eld on S2 R4 -- 5. Orbits related to G -- References -- Persistence of solutions for some integrable shallow water equations D. Henry -- 1. Introduction -- 2. The b-equations -- 2.1. C. 
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