Free download скачать An Introduction to Teichmüller Spaces by Yoichi Imayoshi , Masahiko Taniguchi
English | PDF | 1992 | 291 Pages | ISBN : 4431681760 | 22.1 MB
The  problem  of  how  to  parametrize  the  variations  of  complex  structures  on a fixed base surface originated with G. F.  Bernhard  Riemann.  This  problem  has spurred extensive investigations,  and  progress has been considerable in  the  areas of  the  theory  of  Riemann surfaces, algebraic geometry, and differential geometry.

In this book,  we  present  the  theory  of  Teichmiiller spaces which give a parametrization  of  all  the  complex  structures  on a given surface.  This  subject lies in  the  intersection  of  many  important  areas  of  mathematics.  These include complex manifolds, Fuchsian groups, Kleinian groups, Lie groups, automorphic forms, complex analysis, algebraic geometry, differential geometry, topology in two  and  three dimensions, differential equations, complex dynamics,  and  ergodic theory. Recently,  the  theory  of  Teichmiiller spaces has begun playing  important roles in  the  string  theory.
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