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Differential Geometry From A Singularity Theory Viewpoint
Shyuichi Izumiya
Maria Del Carmen Romero Fuster
Maria Aparecida Soares Ruas
Farid Tari
出版
World Scientific
, 2015-10-29
主題
Mathematics / Geometry / Differential
Mathematics / Research
Mathematics / Topology
ISBN
9814590460
9789814590464
URL
http://books.google.com.hk/books?id=T2_FCwAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.