TRENDS IN DIFFERENTIAL GEOMETRY, COMPLEX ANALYSIS AND MATHEMATICAL PHYSICS

TRENDS IN DIFFERENTIAL GEOMETRY, COMPLEX ANALYSIS AND MATHEMATICAL PHYSICS
Proceedings of the 9th International Workshop on Complex Structures, Integrability and Vector Fields

Sofia, Bulgaria, 25 - 29 August 2008

CONTENTS


FRONT MATTER	i
A DISCRETE MODEL FOR KÄHLER MAGNETIC FIELDS ON A COMPLEX HYPERBOLIC SPACE TOSHIAKI ADACHI	1
INTEGRABILITY CONDITION ON THE BOUNDARY PARAMETERS OF THE ASYMMETRIC EXCLUSION PROCESS AND MATRIX PRODUCT ANSATZ BOYKA ANEVA	10
REMARKS ON THE DOUBLE-COMPLEX LAPLACIAN L. APOSTOLOVA	20
GENERALIZATIONS OF CONJUGATE CONNECTIONS OVIDIU CALIN, HIROSHI MATSUZOE and JUN ZHANG	26
ASYMPTOTICS OF GENERALIZED VALUE DISTRIBUTION FOR HERGLOTZ FUNCTIONS Y. T. CHRISTODOULIDES	35
CYCLIC HYPER-SCALAR SYSTEMS STANCHO DIMIEV, MARIN S. MARINOV and ZHIVKO ZHELEV	46
PLANE CURVES ASSOCIATED WITH INTEGRABLE DYNAMICAL SYSTEMS OF THE FRENET-SERRET TYPE P. A. DJONDJOROV, V. M. VASSILEV and I. M. MLADENOV	57
RELATIVISTIC STRAIN AND ELECTROMAGNETIC PHOTON-LIKE OBJECTS STOIL DONEV and MARIA TASHKOVA	64
A CONSTRUCTION OF MINIMAL SURFACES IN FLAT TORI BY SWELLING NORIO EJIRI	74
ON NLS EQUATIONS ON BD.I SYMMETRIC SPACES WITH CONSTANT BOUNDARY CONDITIONS V. S. GERDJIKOV and N. A. KOSTOV	83
ORTHOGONAL ALMOST COMPLEX STRUCTURES ON S² × R⁴ HIDEYA HASHIMOTO and MISA OHASHI	92
PERSISTENCE OF SOLUTIONS FOR SOME INTEGRABLE SHALLOW WATER EQUATIONS D. HENRY	99
SOME GEOMETRIC PROPERTIES AND OBJECTS RELATED TO BÉZIER CURVES M. J. HRISTOV	109
HEISENBERG RELATIONS IN THE GENERAL CASE BOZHIDAR Z. ILIEV	120
POISSON STRUCTURES OF EQUATIONS ASSOCIATED WITH GROUPS OF DIFFEOMORPHISMS ROSSEN I. IVANOV	131
HYPERBOLIC GAUSS MAPS AND PARALLEL SURFACES IN HYPERBOLIC THREE-SPACE MASATOSHI KOKUBU	139
ON THE LAX PAIR FOR TWO AND THREE WAVE INTERACTION SYSTEM N. A. KOSTOV	149
MATHEMATICAL OUTLOOK OF FRACTALS AND CHAOS RELATED TO SIMPLE ORTHORHOMBIC ISING-ONSAGER-ZHANG LATTICES JULIAN LAWRYNOWICZ, STEFANO MARCHIAFAVA and MAŁGORZATA NOWAK-KȨPCZYK	156
A CHARACTERIZATION OF CLIFFORD MINIMAL HYPERSURFACES OF A SPHERE IN TERMS OF THEIR GEODESICS SADAHIRO MAEDA	167
ON THE CURVATURE PROPERTIES OF REAL TIME-LIKE HYPERSURFACES OF KÄHLER MANIFOLDS WITH NORDEN METRIC M. MANEV and M. TEOFILOVA	174
SOME SUBMANIFOLDS OF ALMOST CONTACT MANIFOLDS WITH NORDEN METRIC G. NAKOVA	185
A SHORT NOTE ON THE DOUBLE-COMPLEX LAPLACE OPERATOR P. POPIVANOV	195
MONOGENIC, HYPERMONOGENIC AND HOLOMORPHIC CLIFFORDIAN FUNCTION — A SURVEY IVAN P. RAMADANOFF	199
ON SOME CLASSES OF EXACT SOLUTIONS OF EIKONAL EQUATION Ł. T. STȨPIEŃ	210
DIRICHLET PROPERTY FOR TESSELLATIONS OF TILING-TYPE 4 ON A PLANE BY CONGRENT PENTAGONS YUSUKE TAKEO and TOSHIAKI ADACHI	219
ALMOST COMPLEX CONNECTIONS ON ALMOST COMPLEX MANIFOLDS WITH NORDEN METRIC MARTA TEOFILOVA	231
PSEUDO-BOSON COHERENT AND FOCK STATES D. A. TRIFONOV	241
NEW INTEGRABLE EQUATIONS OF MKDV TYPE T. I. VALCHEV	251
INTEGRABLE DYNAMICAL SYSTEMS OF THE FRENET-SERRET TYPE V. M. VASSILEV, P. A. DJONDJOROV and I. M. MLADENOV	261
BACK MATTER	273
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