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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Izumiya, Shyuichi
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New Jersey : World Scientific, [2016]
Temas:
Surfaces > Areas and volumes.
Singularities (Mathematics)
Geometry, Differential.
Curvature.
Surfaces (Mathématiques) > Aires et volumes.
Singularités (Mathématiques)
Géométrie différentielle.
Courbure.
MATHEMATICS > Geometry > General.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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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