Wednesday, 06 April 2022 17:09

Differential Geometry and Topology of Curves

  • 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 Science Publishers
  • Year: 2000

[Yu. Aminov, Differential geometry and topology of curves, Gordon and Breach Science Publishers, Amsterdam, 2000]

This is a comprehensive presentation of the geometry of submanifolds that expands on classical results in the theory of curves and surfaces. The geometry of submanifolds starts from the idea of the extrinsic geometry of a surface, and the theory studies the position and properties of a submanifold in ambient space in both local and global aspects.