Download Introduction to Möbius Differential Geometry (London by Udo Hertrich-Jeromin PDF

By Udo Hertrich-Jeromin

This ebook introduces the reader to the geometry of surfaces and submanifolds within the conformal n-sphere. a variety of versions for Möbius geometry are awarded: the classical projective version, the quaternionic technique, and an method that makes use of the Clifford algebra of the distance of homogeneous coordinates of the classical version; using 2-by-2 matrices during this context is elaborated. for every version in flip functions are mentioned. themes contain conformally flat hypersurfaces, isothermic surfaces and their transformation idea, Willmore surfaces, orthogonal structures and the Ribaucour transformation, in addition to analogous discrete theories for isothermic surfaces and orthogonal platforms. definite family members with curved residences, a selected form of integrable method, are printed. hence this e-book will serve either as an creation to beginners (with history in Riemannian geometry and undemanding differential geometry) and as a reference paintings for researchers.

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