Differential geometry from a singularity theory viewpoint

Differential geometry from a singularity theory viewpoint

by Izumiya, Shyuichi

Type Book
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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 Eucl…

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Title Statements

  • Full title :Differential geometry from a singularity theory viewpoint / Shyuichi Izumiya ... [et al.].

Summary

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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Edition Statements

  • Publication Date:2016.

Publication Statements

  • Publisher(s):World Scientific
  • Place of Publication:Singapore
  • Language:eng
  • Publication Date:2016.

Notes

MSC 53xx ; 14B05 ; 32Sxx ; 58Kxx ; 14xx.

The Physical Object

  • Description:XIII, 368 p. : : il. ; : 24 cm

Edition Identifiers

  • ISBN:9789814590440, 9814590444
  • oclc:on1322902986

Subjects

Geometría diferencial Singularidades (Matemáticas) Superficies (Matemáticas)

Writers

Izumiya, Shyuichi

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