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Lie Sphere Geometry
Thomas E. Cecil
€ 91.02
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Description for Lie Sphere Geometry
Paperback. Thomas Cecil is a math professor with an unrivalled grasp of Lie Sphere Geometry. Here, he provides a clear and comprehensive modern treatment of the subject, as well as its applications to the study of Euclidean submanifolds. Series: Universitext. Num Pages: 208 pages, biography. BIC Classification: PBMH; PBMW; PBP. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 157 x 234 x 17. Weight in Grams: 354.
Thomas Cecil is a math professor with an unrivalled grasp of Lie Sphere Geometry. Here, he provides a clear and comprehensive modern treatment of the subject, as well as its applications to the study of Euclidean submanifolds. It begins with the construction of the space of spheres, including the fundamental notions of oriented contact, parabolic pencils of spheres, and Lie sphere transformations. This new edition contains revised sections on taut submanifolds, compact proper Dupin submanifolds, reducible Dupin submanifolds, and the cyclides of Dupin. Completely new material on isoparametric hypersurfaces in spheres and Dupin hypersurfaces with three and four principal curvatures ... Read more
Thomas Cecil is a math professor with an unrivalled grasp of Lie Sphere Geometry. Here, he provides a clear and comprehensive modern treatment of the subject, as well as its applications to the study of Euclidean submanifolds. It begins with the construction of the space of spheres, including the fundamental notions of oriented contact, parabolic pencils of spheres, and Lie sphere transformations. This new edition contains revised sections on taut submanifolds, compact proper Dupin submanifolds, reducible Dupin submanifolds, and the cyclides of Dupin. Completely new material on isoparametric hypersurfaces in spheres and Dupin hypersurfaces with three and four principal curvatures ... Read more
Product Details
Format
Paperback
Publication date
2007
Publisher
Springer-Verlag New York Inc. United States
Number of pages
224
Condition
New
Series
Universitext
Number of Pages
208
Place of Publication
New York, NY, United States
ISBN
9780387746555
SKU
V9780387746555
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Thomas E. Cecil
Professor Thomas E. Cecil is a professor of mathematics at Holy Cross University, where he has taught for almost thirty years. He has held visiting appointments at UC Berkeley, Brown University, and the University of Notre Dame. He has written several articles on Dupin submanifolds and hypersurfaces, and their connections to Lie sphere geometry, and co-edited two volumes on tight ... Read more
Reviews for Lie Sphere Geometry
Reviews from the first edition: "The book under review sets out the basic material on Lie sphere geometry in modern notation, thus making it accessible to students and researchers in differential geometry.....This is a carefully written, thorough, and very readable book. There is an excellent bibliography that not only provides pointers to proofs that have been omitted, but ... Read more