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Book Synopsis

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.

Differential Geometry From A Singularity Theory

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    A Hardback by Shyuichi Izumiya, Maria Del Carmen Romero Fuster, Maria Aparecida Soares Ruas

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      Book details

      Publisher World Scientific Publishing Co Pte Ltd
      Published 31 December 2015
      ISBN-13 9789814590440
      978-9814590440
      ISBN-10 9814590444
      Also in:
      Differential and Riemannian geometry

      Description

      Book Synopsis

      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.

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