The Geometry of Vector Fields (Routledge Revivals) Routledge Revivals Series
Auteur : Aminov Yu.
This volume, first published in 2000, presents a classical approach to the foundations and development of the geometry of vector fields, describing vector fields in three-dimensional Euclidean space, triply-orthogonal systems and applications in mechanics. Topics covered include Pfaffian forms, systems in n-dimensional space, and foliations and their Godbillion-Vey invariant. There is much interest in the study of geometrical objects in n-dimensional Euclidean space and this volume provides a useful and comprehensive presentation.
Preface; Part I: Vector Fields in Three-Dimensional Euclidean Space; Part II: Vector Fields and Differential Forms in Many-Dimensional Euclidean and Riemannian Spaces; References; Subject Index; Author Index
Date de parution : 05-2013
13.8x21.6 cm
Date de parution : 12-2014
13.8x21.6 cm
Thèmes de The Geometry of Vector Fields (Routledge Revivals) :
Mots-clés :
Vector Field; Unit Vector Field; Geometrical objects; Principal Curvatures; Vector fields; Riemannian Space; Triply-orthogonal systems; Exterior Differential; Pfaffian forms; Arc Length Parameter; Three-dimensional Euclidean space; Admissible Curve; Field Streamline; Asymptotic Lines; Closed Streamline; Symmetric Polynomials; Geodesic Curvature; Total Curvature; Covariant Derivatives; Parallel Transport; Constant Vector Field; Exterior Product