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Titlebook: Lie Sphere Geometry; With Applications to Thomas E. Cecil Book 19921st edition Springer Science+Business Media New York 1992 Invariant.Lie.

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发表于 2025-3-21 19:50:52 | 显示全部楼层 |阅读模式
书目名称Lie Sphere Geometry
副标题With Applications to
编辑Thomas E. Cecil
视频video
丛书名称Universitext
图书封面Titlebook: Lie Sphere Geometry; With Applications to Thomas E. Cecil Book 19921st edition Springer Science+Business Media New York 1992 Invariant.Lie.
描述.Lie Sphere Geometry. provides a modern treatment of Lie‘s geometry of spheres, its recent applications and the study of Euclidean space. This book begins with Lie‘s construction of the space of spheres, including the fundamental notions of oriented contact, parabolic pencils of spheres and Lie sphere transformation. The link with Euclidean submanifold theory is established via the Legendre map. This provides a powerful framework for the study of submanifolds, especially those characterized by restrictions on their curvature spheres. Of particular interest are isoparametric, Dupin and taut submanifolds. These have recently been classified up to Lie sphere transformation in certain special cases through the introduction of natural Lie invariants. The author provides complete proofs of these classifications and indicates directions for further research and wider application of these methods.
出版日期Book 19921st edition
关键词Invariant; Lie; Natural; character; classification; construction; curvature; form; framework; geometry; manifo
版次1
doihttps://doi.org/10.1007/978-1-4757-4096-7
isbn_ebook978-1-4757-4096-7Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer Science+Business Media New York 1992
The information of publication is updating

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Legendre Submanifolds,es on the Lie quadric .. has a contact structure, i.e., a globally defined 1-form ω such that ω ∧ (.ω). ≠ 0 on Λ.. This gives rise to a codimension one distribution . on Λ. which has integral submanifolds of dimension .−1, but none of higher dimension. These integral submanifolds are called Legendre
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od of materials stand two diametrically opposed ‘models’. The ‘Japan, Inc. model’ sees Japan run like a giant corporation with the government serving as its headquarters and each enterprise acting as a corporate division. According to this view the government issues plans that minutely control and d
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Thomas E. Cecilod of materials stand two diametrically opposed ‘models’. The ‘Japan, Inc. model’ sees Japan run like a giant corporation with the government serving as its headquarters and each enterprise acting as a corporate division. According to this view the government issues plans that minutely control and d
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Thomas E. Ceciln everyday life within the bounds of history. Therefore, as a field, it can be said to reside in an intermediate area between economics and history. There is not much constructive meaning in stating which field a certain discipline belongs to, since fixating on such things leaves little prospect for
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rogram and the JICA Scholarship Program. Although the Japanese Government Scholarship Program was the main scholarship program between the 1950s and the 1980s, it diversified with the start of the JICA Scholarship Program in 1988. The program initially aimed to promote friendship with foreign countr
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