Tight And Taut Submanifolds

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Tight And Taut Submanifolds

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Author : Nicolaas Hendrik Kuiper
language : en
Publisher: Cambridge University Press
Release Date : 1997-11-13

Tight And Taut Submanifolds written by Nicolaas Hendrik Kuiper and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-11-13 with Mathematics categories.

First published in 1997, this book contains six in-depth articles on various aspects of the field of tight and taut submanifolds and concludes with an extensive bibliography of the entire field. The book is dedicated to the memory of Nicolaas H. Kuiper; the first paper is an unfinished but insightful survey of the field of tight immersions and maps written by Kuiper himself. Other papers by leading researchers in the field treat topics such as the smooth and polyhedral portions of the theory of tight immersions, taut, Dupin and isoparametric submanifolds of Euclidean space, taut submanifolds of arbitrary complete Riemannian manifolds, and real hypersurfaces in complex space forms with special curvature properties. Taken together these articles provide a comprehensive survey of the field and point toward several directions for future research.

Tight And Taut Immersions Of Manifolds

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Author : Thomas E. Cecil
language : en
Publisher: Pitman Advanced Publishing Program
Release Date : 1985

Tight And Taut Immersions Of Manifolds written by Thomas E. Cecil and has been published by Pitman Advanced Publishing Program this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.

Tight And Taut Immersions Of Manifolds

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Author : Thomas E. Cecil
language : en
Publisher: Halsted Press
Release Date : 1986-05-01

Tight And Taut Immersions Of Manifolds written by Thomas E. Cecil and has been published by Halsted Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-05-01 with categories.

Lie Sphere Geometry

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Author : Thomas E. Cecil
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-29

Lie Sphere Geometry written by Thomas E. Cecil and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-29 with Mathematics categories.

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.

Geometry And Topology Of Submanifolds V Proceedings Of The Conferences On Differential Geometry And Vision Theory Of Submanifolds

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Author : Franki Dillen
language : en
Publisher: World Scientific
Release Date : 1993-09-30

Geometry And Topology Of Submanifolds V Proceedings Of The Conferences On Differential Geometry And Vision Theory Of Submanifolds written by Franki Dillen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-09-30 with categories.

Proceedings Of The Workshop Contemporary Geometry And Related Topics

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Author : Neda Bokan
language : en
Publisher: World Scientific
Release Date : 2004

Proceedings Of The Workshop Contemporary Geometry And Related Topics written by Neda Bokan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.

Readership: Researchers in geometry & topology, nonlinear science and dynamical systems.

Contemporary Geometry And Related Topics Proceedings Of The Workshop

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Author : Neda Bokan
language : en
Publisher: World Scientific
Release Date : 2004-03-15

Contemporary Geometry And Related Topics Proceedings Of The Workshop written by Neda Bokan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-15 with Mathematics categories.

This volume covers a broad range of subjects in modern geometry and related branches of mathematics, physics and computer science. Most of the papers show new, interesting results in Riemannian geometry, homotopy theory, theory of Lie groups and Lie algebras, topological analysis, integrable systems, quantum groups, and noncommutative geometry. There are also papers giving overviews of the recent achievements in some special topics, such as the Willmore conjecture, geodesic mappings, Weyl's tube formula, and integrable geodesic flows. This book provides a great chance for interchanging new results and ideas in multidisciplinary studies.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences

Geometry Of Hypersurfaces

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Author : Thomas E. Cecil
language : en
Publisher: Springer
Release Date : 2015-10-30

Geometry Of Hypersurfaces written by Thomas E. Cecil and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-30 with Mathematics categories.

This exposition provides the state-of-the art on the differential geometry of hypersurfaces in real, complex, and quaternionic space forms. Special emphasis is placed on isoparametric and Dupin hypersurfaces in real space forms as well as Hopf hypersurfaces in complex space forms. The book is accessible to a reader who has completed a one-year graduate course in differential geometry. The text, including open problems and an extensive list of references, is an excellent resource for researchers in this area. Geometry of Hypersurfaces begins with the basic theory of submanifolds in real space forms. Topics include shape operators, principal curvatures and foliations, tubes and parallel hypersurfaces, curvature spheres and focal submanifolds. The focus then turns to the theory of isoparametric hypersurfaces in spheres. Important examples and classification results are given, including the construction of isoparametric hypersurfaces based on representations of Clifford algebras. An in-depth treatment of Dupin hypersurfaces follows with results that are proved in the context of Lie sphere geometry as well as those that are obtained using standard methods of submanifold theory. Next comes a thorough treatment of the theory of real hypersurfaces in complex space forms. A central focus is a complete proof of the classification of Hopf hypersurfaces with constant principal curvatures due to Kimura and Berndt. The book concludes with the basic theory of real hypersurfaces in quaternionic space forms, including statements of the major classification results and directions for further research.

A Mathematician And His Mathematical Work

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Author : Shiing-Shen Chern
language : en
Publisher: World Scientific
Release Date : 1996

A Mathematician And His Mathematical Work written by Shiing-Shen Chern and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.

This volume is about the life and work of Shiing-Shen Chern (1911-), one of the leading mathematicians of this century. The book contains personal accounts by some friends, together with a summary of the mathematical works by Chern himself. Besides a selection of the mathematical papers the book also contains all his papers published after 1988.

Critical Point Theory And Submanifold Geometry

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Author : Richard S. Palais
language : en
Publisher: Springer
Release Date : 2006-11-14

Critical Point Theory And Submanifold Geometry written by Richard S. Palais and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.