Differential Geometry from a Singularity Theory Viewpoint by Shyuichi Izumiya,Maria del Carmen Romero Fuster,Maria

By Shyuichi Izumiya,Maria del Carmen Romero Fuster,Maria Aparecida Soares Ruas,Farid Tari

Differential Geometry from a Singularity conception Viewpoint offers a brand new examine the interesting and classical topic of the differential geometry of surfaces in Euclidean areas. The publication makes use of singularity concept to catch a few key geometric beneficial properties of surfaces. It describes the idea of touch and its hyperlink with the speculation of caustics and wavefronts. It then makes use of the robust ideas of those theories to infer geometric information regarding surfaces embedded in three, four and 5-dimensional Euclidean areas. The ebook additionally contains contemporary paintings of the authors and their collaborators at the geometry of sub-manifolds in Minkowski spaces.

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