Differential geometry from singularity theory viewpoint /

"Differential Geometry from a Singularity Theory Viewpoint provides a new look at the fascinating and classical subject of the differential geometry of surfaces in Euclidean spaces. The book uses singularity theory to capture some key geometric features of surfaces. It describes the theory of c...

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Bibliographic Details
Call Number:Libro Electrónico
Other Authors: Izumiya, Shyuichi
Format: Electronic eBook
Language:Inglés
Published: New Jersey : World Scientific, [2016]
Subjects:
Surfaces > Areas and volumes.
Singularities (Mathematics)
Geometry, Differential.
Curvature.
Surfaces (Mathématiques) > Aires et volumes.
Singularités (Mathématiques)
Géométrie différentielle.
Courbure.
MATHEMATICS > Geometry > General.
Online Access:Texto completo
Table of Contents:
  • The case for the singularity theory approach
  • Submaniifolds of the Euclidean space
  • Singularities of germs of smooth mappings
  • Contract between submanifolds of Rn
  • Lagrangian and legendrian singularities
  • Surfaces in the Euclidean 3-space
  • Surfaces in the Euclidean 4-space
  • Surfaces in the Euclidean 5-space
  • Spacelike surfaces in the Minkowski space-time
  • Global viewpoint.

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