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This volume constitutes the proceedings of a workshop whose main
purpose was to exchange information on current topics in complex
analysis, differential geometry, mathematical physics and
applications, and to group aspects of new mathematics.
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.
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