Introduction to Möbius differential geometry /
Hertrich-Jeromin, Udo, 1965-
Introduction to Möbius differential geometry / Udo Hertrich-Jeromin. - Cambridge ; New York : Cambridge University Press, 2003. - 1 online resource (xi, 413 pages) : illustrations. - London Mathematical Society lecture note series ; 300 . - London Mathematical Society lecture note series ; 300. .
Includes bibliographical references (pages 384-407) and index.
Preliminaries: the Riemannian point of view -- The projective model -- Application: conformally flat hypersurfaces -- Application: isothermic and Willmore surfaces -- A quaternionic model -- Application: smooth and discrete isothermic surfaces -- Clifford algebra model -- A Clifford algebra model: Vahlen matrices -- Applications: orthogonal systems, isothermic surfaces.
An introduction to the conformal differential geometry of surfaces and submanifolds. The book discusses those aspects of the geometry of surfaces that only refer to an angle measurement but not to a length measurement. The book presents different methods (models) for thinking about geometry and performing computations.
0511065582 (electronic bk.) 9780511065583 (electronic bk.) 0511067712 9780511067716 9780511546693 (e-book) 0511546696 (ebook) 9780511546693 (ebook) (Paper) (pbk.) (Adobe Reader) (Adobe Reader)
9780511065583
Geometry, Differential.
Conformal geometry.
Géométrie conforme.
Géométrie différentielle.
MATHEMATICS--Geometry--Differential.
Geometry, Differential.
Grupos de transformação (geometria diferencial)
Electronic books.
Electronic books.
QA609 / .H47 2003eb
516.3/6
Introduction to Möbius differential geometry / Udo Hertrich-Jeromin. - Cambridge ; New York : Cambridge University Press, 2003. - 1 online resource (xi, 413 pages) : illustrations. - London Mathematical Society lecture note series ; 300 . - London Mathematical Society lecture note series ; 300. .
Includes bibliographical references (pages 384-407) and index.
Preliminaries: the Riemannian point of view -- The projective model -- Application: conformally flat hypersurfaces -- Application: isothermic and Willmore surfaces -- A quaternionic model -- Application: smooth and discrete isothermic surfaces -- Clifford algebra model -- A Clifford algebra model: Vahlen matrices -- Applications: orthogonal systems, isothermic surfaces.
An introduction to the conformal differential geometry of surfaces and submanifolds. The book discusses those aspects of the geometry of surfaces that only refer to an angle measurement but not to a length measurement. The book presents different methods (models) for thinking about geometry and performing computations.
0511065582 (electronic bk.) 9780511065583 (electronic bk.) 0511067712 9780511067716 9780511546693 (e-book) 0511546696 (ebook) 9780511546693 (ebook) (Paper) (pbk.) (Adobe Reader) (Adobe Reader)
9780511065583
Geometry, Differential.
Conformal geometry.
Géométrie conforme.
Géométrie différentielle.
MATHEMATICS--Geometry--Differential.
Geometry, Differential.
Grupos de transformação (geometria diferencial)
Electronic books.
Electronic books.
QA609 / .H47 2003eb
516.3/6