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Variations, Geometry and Physics

Editat de Olga Krupkova, David Saunders
en Limba Engleză Hardback – 13 iul 2009
This book is a collection of survey articles in a broad field of the geometrical theory of the calculus of variations and its applications in analysis, geometry and physics. It is a commemorative volume to celebrate the sixty-fifth birthday of Professor Krupa, one of the founders of modern geometric variational theory, and a major contributor to this topic and its applications over the past thirty-five years. All the authors invited to contribute to this volume have established high reputations in their field. The book will exclusively provide a variety of important results, techniques and applications that are usually available only by consulting original papers in many different journals. It will be of interest to researchers in variational calculus, mathematical physics and the other related areas of differential equations, natural operators and geometric structures. Also, it will become an important source of current research for doctoral students and postdoctorals in these fields.
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Specificații

ISBN-13: 9781604569209
ISBN-10: 1604569204
Pagini: 370
Ilustrații: black & white illustrations, figures
Dimensiuni: 179 x 265 x 27 mm
Greutate: 0.93 kg
Editura: Nova Science Publishers Inc

Cuprins

Preface; Lepage forms in Variational Theories: From Lepage's Idea to the Variational Sequence; Lepage Forms in the Calculus of Variations; Krupka's Fundamental Lepage Equivalent and the Excess Function of Wilkins; Lepage Congruences in Discrete Mechanics; Finite Order Variational Sequences: A short review; Concatenating Variational Principles and the Kinetic; Stress-Energy-Momentum Tensor; A Geometric Hamilton-Jacobi Theory for Classical Field Theories; Natural and Gauge-natural Bundles and Natural Lagrangian Structures; Connections on Higher Order Frame Bundles and Their Gauge Analogies; Natural Lifts in Riemannian geometry; Invariant Variational Problems and Invariant Flows Via Moving Frames; Differential Invariants of the Motion Group Actions; Part III: Differential Equations and Geometrical Structures; Remarks on the History of the Notion of Lie Differentiation; Second-order Differential Equation Fields with Symmetry; Dimensional Reduction of Curvature-dependent Central Potentials on Spaces of Constant Curvature; Direct Geometrical Method in Finsler Geometry; Linear Connections Along the Tangent Bundle Projection; On the Inverse Problem for Autoparallels; Index.