Geometry and topology of submanifolds, IX : dedicated to Prof. Radu Rosca on the ocasion of his 90th birthday, Valenciennes, France, 26-27 March, Lyon, France, 17-18 May, Leuven, Belgium, 19-20 September, 1997

This volume provides a systematic and unified approach to the analysis, identification and optimal control of continuous-time dynamical systems via orthogonal polynomials (such as Legendre, Laguerre, Hermite, Tchebycheff, Jacobi and Gegenbauer) and via orthogonal functions such as sine-cosine, block-pulse, and Walsh. This book concentrates on the application of orthogonal polynomials in systems and control and aims to establish the superiority of orthogonal polynomials over other orthogonal functions Contents:Affine Bibliography 1998 (T Binder et al.)Contact Metric R-Harmonic Manifolds (K Arslan & C Murathan)Local Classification of Centroaffine Tchebychev Surfaces with Constant Curvature Metric (T Binder)Hypersurfaces in Space Forms with Some Constant Curvature Functions (F Brito et al.)Some Relations Between a Submanifold and Its Focal Set (S Carter & A West)On Manifolds of Pseudosymmetric Type (F Defever et al.)Hypersurfaces with Pseudosymmetric Weyl Tensor in Conformally Flat Manifolds (R Deszcz et al.)Least-Squares Geometrical Fitting and Minimising Functions on Submanifolds (F Dillen et al.)Cubic Forms Generated by Functions on Projectively Flat Spaces (J Leder)Distinguished Submanifolds of a Sasakian Manifold (I Mihai)On the Curvature of Left Invariant Locally Conformally Para-Kählerian Metrics (Z Olszak)Remarks on Affine Variations on the Ellipsoid (M Wiehe)Dirac's Equation, Schrödinger's Equation and the Geometry of Surfaces (T J Willmore)and other papersReadership: Researchers doing differential geometry and topology.Key Features:Provides an interdisciplinary study across Asian Studies, Global Security Governance, International Relations, and Comparative PoliticsOffers a comprehensive view of the international involvement in Central AsiaProvides a detailed comparative analysis of the localization of external agency in the Central Asian region as a wholeEngages in an inter-disciplinary explanation of the often puzzling patterns of regional interactions This text covers topics such as: contract metric R-harmonic manifolds; hypersurfaces in space forms with some constant curvature functions; manifolds of pseudodynamics; cubic forms generated by functions on projectively flat spaces; and distinguished submanifolds of a Sasakian manifold.