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. Discussions include submanifolds in Euclidean states and Riemannian space, minimal submanifolds, Grassman mappings, multi-dimensional regular polyhedra, and isometric immersions of Lobachevski space into Euclidean spaces. This volume also highlights the contributions made by great geometers to the geometry of submanifolds and its areas of application.
- ISBN10 905699087X
- ISBN13 9789056990879
- Publish Date 11 January 2001
- Publish Status Active
- Out of Print 24 January 2012
- Publish Country GB
- Imprint Taylor & Francis Ltd
- Format Hardcover
- Pages 371
- Language English