caa a22 4500 469117451 CHVBK 20180323133128.0 cr unu---uuuuu 170328e19920901xx s 000 0 eng 10.1007/BF02921298 doi (NATIONALLICENCE)springer-10.1007/BF02921298 Spherical space forms, CR mappings, and proper maps between balls [Elektronische Daten] [John D'Angelo, Daniel Lichtblau] We determine precisely for which spherical space forms there are nontrivial smooth CR mappings to spheres. Equivalently we determine for which fixed point free finite unitary groups ⌈ there exists a ⌈-invariant proper holomorphic rational map between balls. The answer is that the group must be cyclic and essentially only two classes of representations can occur. For these there are invariant polynomial examples. Mathematica Josephina, Inc., 1992 CR mappings nationallicence finite unitary groups nationallicence proper holomorphic mappings nationallicence spherical space forms nationallicence unit ball nationallicence D'Angelo John Department of Mathematics, University of Illinois, 61801, Urbana, IL aut Lichtblau Daniel Department of Mathematics, University of Illinois, 61801, Urbana, IL aut The Journal of Geometric Analysis Springer-Verlag 2/5(1992-09-01), 391-415 1050-6926 2:5<391 1992 2 12220 https://doi.org/10.1007/BF02921298 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02921298 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- D'Angelo John Department of Mathematics, University of Illinois, 61801, Urbana, IL aut NATIONALLICENCE 700 1- Lichtblau Daniel Department of Mathematics, University of Illinois, 61801, Urbana, IL aut NATIONALLICENCE 773 0- The Journal of Geometric Analysis Springer-Verlag 2/5(1992-09-01), 391-415 1050-6926 2:5<391 1992 2 12220 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer