附註: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.
摘要: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.
