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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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    Publisher: World Scientific Publishing Co Pte Ltd
    Publication Date: 31/12/2015
    ISBN13: 9789814590440, 978-9814590440
    ISBN10: 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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