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CONFORMAL AND CR MAPPINGS ON CARNOT GROUPS

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اقرأ أكثر حفظ في قائمتي
  • معلومة اضافية
    • بيانات النشر:
      American Mathematical Society
    • الموضوع:
      2020
    • Collection:
      UNSW Sydney (The University of New South Wales): UNSWorks
    • نبذة مختصرة :
      We consider a class of stratified groups with a CR structure and a compatible control distance. For these Lie groups we show that the space of conformal maps coincide with the space of CR and anti-CR diffeomorphisms. Furthermore, we prove that on products of such groups, all CR and anti-CR maps are product maps, up to a permutation isomorphism, and affine in each component. As examples, we consider free groups on two generators, and show that these admit very simple polynomial embeddings in CN that induce their CR structure.
    • File Description:
      application/pdf
    • Relation:
      http://purl.org/au-research/grants/arc/DP170103025; http://hdl.handle.net/1959.4/unsworks_73691; https://doi.org/10.1090/bproc/48
    • الرقم المعرف:
      10.1090/bproc/48
    • الدخول الالكتروني :
      http://hdl.handle.net/1959.4/unsworks_73691
      https://unsworks.unsw.edu.au/bitstreams/bf490e7c-6259-47aa-b7a9-0494838b40b1/download
      https://doi.org/10.1090/bproc/48
    • Rights:
      open access ; https://purl.org/coar/access_right/c_abf2 ; CC-BY-NC-ND ; https://creativecommons.org/licenses/by-nc-nd/4.0/ ; free_to_read ; ©2020 by the authors under Creative Commons Attribution-Noncommercial 3.0 License (CC BY NC 3.0)
    • الرقم المعرف:
      edsbas.C455EB8F