Differential Geometry From A Singularity Theory Viewpoint
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A01=Farid Tari
A01=Maria Aparecida Soares Ruas
A01=Maria Del Carmen Romero Fuster
A01=Shyuichi Izumiya
Author_Farid Tari
Author_Maria Aparecida Soares Ruas
Author_Maria Del Carmen Romero Fuster
Author_Shyuichi Izumiya
Category=PBMP
Caustics
Contact
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Extrinsic Geometry
Genericity
Singularities
Surfaces
Transversality
Wave Fronts
Product details
- ISBN 9789814590440
- Publication Date: 31 Dec 2015
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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"The present book has been enriched by including, in the Notes of each chapter, other aspects and studies on the topics in questions and by providing a wide list of references. The book will be a helpful tool for researchers interested in the field and in particular, in the study of the differential geometry of singular submanifolds of Euclidean and Minkowski spaces."European Mathematical SocietyDifferential 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.
