A Remark on Harmonic Quasiconformal Mappings

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K-quasiconformal mappings of Riemann surfaces was investigated by P.J. Kiernan in [2]. One of his interesting results is that harmonic K-quasiconformal mappings of certain Riemann surfaces are distance-decreasing. We shall discuss here harmonic K-quasiconformal mappings of n-dimensional Riemannian manifolds and generalize the above Kiernan's theorem to this case. In section 1 we review the theory of harmonic forms as found in [4]. Section 2 is devoted to get some lemmas which are used to prove our theorem in the last section. Concerning quasiconformal mappings, we use the fact given by H. Wu in [5].

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詳細情報 詳細情報について

  • CRID
    1050564287416010880
  • NII論文ID
    110007122243
  • NII書誌ID
    AA00701816
  • ISSN
    00754293
  • Web Site
    http://repo.lib.tokushima-u.ac.jp/23
  • 本文言語コード
    en
  • 資料種別
    departmental bulletin paper
  • データソース種別
    • IRDB
    • CiNii Articles

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