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    LIE SPHERE GEOMETRY

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    628431

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    Sinopse

    This book provides a clear and comprehensive modern treatment of Lie sphere geometry and 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. The link with Euclidean submanifold theory is established via the Legendre map, which provides a powerful framework for the study of submanifolds, especially those characterized by restrictions on their curvature spheres.

    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.

    Further key features of 'Lie Sphere Geometry' 2/e: Provides the reader with all the necessary background to reach the frontiers of research in this area; Fills a gap in the literature; no other thorough examination of Lie sphere geometry and its applications to submanifold theory; Complete treatment of the cyclides of Dupin, including 11 computer-generated illustrations; Rigorous exposition driven by motivation and ample examples.
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    ISBN9780387746555
    Pré vendaNão
    Peso237g
    Autor para link
    Livro disponível - pronta entregaNão
    Tipo itemLivro Importado
    Número de páginas212
    Número da edição2ª EDIÇÃO - 2010
    Código Interno628431
    Código de barras9780387746555
    AcabamentoPAPERBACK
    AutorCECIL, THOMAS E.
    EditoraSPRINGER VERLAG
    Sob encomendaSim

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