Titlebook: Surfaces in Classical Geometries; A Treatment by Movin Gary R. Jensen,Emilio Musso,Lorenzo Nicolodi Textbook 2016 Springer International Pu

BLAND

Lie Groups,s theory of smooth distributions. The chapter concludes with statements and proofs of the Cartan–Darboux uniqueness and existence theorems. Our proof of the global existence theorem is simpler than those proofs we have seen in the literature.

Pedagogy

CMC 1 Surfaces in ,,, projects to a CMC 1 immersion into hyperbolic space. The null immersions are analogous to minimal curves of the Weierstrass representation of minimal immersions into Euclidean space. A solution of these equations leads to a more complicated monodromy problem, which is described in detail. The chapter ends with some examples.

homeostasis

Senescent

,Isothermic Immersions into Möbius Space,h isolated umbilics, since this is true for minimal immersions in space forms and these properties are preserved by the embeddings into Möbius space. The theorem of Thomsen states that up to Möbius transformation, all isothermic Willmore immersions with isolated umbilics arise in this way.

PAN

中世纪

978-3-319-27074-6Springer International Publishing Switzerland 2016

释放

伪造者

灰姑娘

reflection

Introduction,The introduction describes some prominent themes that run through the book. It then gives a short description of the content of each chapter, with some comments as to how several topics interconnect.