Wednesday, 30 March 2022 15:32

[AMIN2000] The geometry of Vector Fields

  • Author(s): AMINOV Yurii (B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences, Kharkiv, Ukraine)
  • Publisher: Gordon and Breach Publishers
  • Year: 2000

[Yu. Aminov, The geometry of vector fields, Gordon and Breach Science Publishers, Amsterdam, 2000]

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 to the second edition