Differential Geometry From A Singularity Theory Viewpoint

Differential Geometry From A Singularity Theory Viewpoint
Author :
Publisher : World Scientific
Total Pages : 383
Release :
ISBN-10 : 9789814590464
ISBN-13 : 9814590460
Rating : 4/5 (460 Downloads)

Book Synopsis Differential Geometry From A Singularity Theory Viewpoint by : Shyuichi Izumiya

Download or read book Differential Geometry From A Singularity Theory Viewpoint written by Shyuichi Izumiya and published by World Scientific. This book was released on 2015-10-29 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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