Matches in Harvard for { <http://id.lib.harvard.edu/aleph/003351786/catalog> ?p ?o. }
Showing items 1 to 28 of
28
with 100 items per page.
- catalog abstract "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.".
- catalog contributor b4864938.
- catalog created "c1992.".
- catalog date "1992".
- catalog date "c1992.".
- catalog dateCopyrighted "c1992.".
- catalog description "Includes bibliographical references and index.".
- catalog description "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.".
- catalog extent "xii, 207 p. ;".
- catalog hasFormat "Lie sphere geometry.".
- catalog identifier "0387977473".
- catalog identifier "3540977473".
- catalog isFormatOf "Lie sphere geometry.".
- catalog isPartOf "Universitext".
- catalog issued "1992".
- catalog issued "c1992.".
- catalog language "eng".
- catalog publisher "New York : Springer-Verlag,".
- catalog relation "Lie sphere geometry.".
- catalog subject "516.3/6 20".
- catalog subject "Geometry, Differential.".
- catalog subject "Geometry, algebraic.".
- catalog subject "Global differential geometry.".
- catalog subject "Mathematics.".
- catalog subject "QA649 .C42 1992".
- catalog subject "Submanifolds.".
- catalog title "Lie sphere geometry : with applications to submanifolds / Thomas E. Cecil.".
- catalog type "text".