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Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
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Lie Sphere Geometry - With Applications to Submanifolds (Paperback, 2nd ed. 2008)
Loot Price: R2,069
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Lie Sphere Geometry - With Applications to Submanifolds (Paperback, 2nd ed. 2008)
Series: Universitext
Expected to ship within 10 - 15 working days
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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 is also included. The author
surveys the known results in these fields and indicates directions
for further research and wider application of the methods of Lie
sphere geometry.
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