By Angel Cano,Juan Pablo Navarrete,Seade Kuri José Antonio

^{1}. whilst going into better dimensions, there's a dichotomy: may still we glance at conformal automorphisms of the n-sphere?, or may still we glance at holomorphic automorphisms of upper dimensional complicated projective areas? those theories are various in greater dimensions. within the first case we're conversing approximately teams of isometries of actual hyperbolic areas, a space of arithmetic with a long-standing culture. within the moment case we're speaking approximately a space of arithmetic that also is in its youth, and this is often the focal point of research during this monograph. This brings jointly numerous very important components of arithmetic, as for example classical Kleinian crew activities, advanced hyperbolic geometry, chrystallographic teams and the uniformization challenge for advanced manifolds.

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