The Geometry of Vector Fields

ISBN-13: 9780415706858 / Angielski / Twarda / 2013 / 188 str.

Yu Aminov

Opis

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.

Spis treści

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

O autorze

Yu. Aminov