Differential Geometry from a 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 contact and its link with the theory of caustics and wavefronts. It then uses the powerful techniques of these theories to deduce geometric information about surfaces embedded in 3, 4 and 5-dimensional Euclidean spaces. The book also includes recent work of the authors and their collaborators on the geometry of sub-manifolds in Minkowski spaces. Contents: The Case for the Singularity Theory Approach Submanifolds of the Euclidean Space Singularities of Germs of Smooth Mappings Contact Between Submanifolds of ?n 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

• ISBN: 978-981-4590-44-0
• Editorial: WORLD SCIENTIFIC PUB.CO.PTE.
• Encuadernacion: Rústica
• Páginas: 384
• Fecha Publicación: 01/12/2015
• Nº Volúmenes: 1
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