Differential geometry from a singularity theory viewpoint
著者
書誌事項
Differential geometry from a singularity theory viewpoint
World Scientific, c2016
大学図書館所蔵 全12件
注記
Other authors: Maria del Carmen Romero Fuster, Maria Aparecida Soares Ruas, Farid Tari
Includes bibliographical references (p. 347-362) and index
内容説明・目次
内容説明
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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