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Offers information for researchers in complex analysis, differential geometry and mathematical physics. This book contains various developments and trends in the studies on constructions of holomorphic Cliffordian functions; and, the swelling constructions of minimal surfaces with higher genus in flat tori.
List of contents
A Discrete Model for Kaehler Magnetic Fields on a Complex Hyperbolic Space; A Characterization of Clifford Minimal Hypersurfaces of a Sphere in Terms of Their Geodesics; Hyperbolic Gauss Maps and Parallel Surfaces in Hyperbolic Three-Space; Generalizations of Conjugate Connections; Heisenberg Relations in the General Case; A Short Note on the Double-Complex Laplace Operator; Monogenic, Hypermonogenic and Holomorphic; Cliffordian Functions - A Survey; On Multicomponent Evolution Equations on Symmetric Spaces with Constant Boundary Conditions; Relativistic Strain and Electromagnetic Photon-Like Objects; Cyclic Hyper-Scalar Systems; Poisson Structures of Equations Associated with Groups of Diffeomorphisms; On the Lax Pair for Two and Three Wave Interaction System; New Integrable Equations of MKdV Type; Persistence of Solutions for Some Integrable Shallow Water Equations; Mathematical Outlook of Fractals and Chaos Related to Simple Orthorhombic Ising-Onsager-Zhang Lattices.