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Introduction to Möbius differential geometry / Udo Hertrich-Jeromin.

By: Hertrich-Jeromin, Udo, 1965-Material type: TextTextSeries: London Mathematical Society lecture note series ; 300.Publication details: Cambridge ; New York : Cambridge University Press, 2003. Description: 1 online resource (xi, 413 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 0511065582; 9780511065583; 0511067712; 9780511067716; 9780511546693; 0511546696; 9780511546693Subject(s): Geometry, Differential | Géométrie conforme | Géométrie différentielle | MATHEMATICS -- Geometry -- Differential | Geometry, Differential | Grupos de transformação (geometria diferencial)Genre/Form: Electronic books. | Electronic books. Additional physical formats: Print version:: Introduction to Möbius differential geometry.DDC classification: 516.3/6 LOC classification: QA609 | .H47 2003ebOther classification: 31.52 Online resources: Click here to access online
Contents:
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.
Summary: 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.
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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.

Print version record.

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.

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