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On Some Properties of Quasiplanes

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Abstract

For quasiconformal images of a hyperplane in Euclidean space, we prove two new properties formulated in terms of the isoperimetry constant and the fundamental frequency.

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Authors and Affiliations

  1. Department of Mathematics, University of Helsinki, P.O.Box 4, Yliopistonkatu 5, FIN-00014, Finland

    O. Martio & M. Vuorinen

  2. Tulaka 2-120, 400119, Volgograd, Russia

    V. Miklyukov

  3. Department of Mathematics, Indian Institute of Technology, IIT-Madras, Chennai, 600 036, India

    S. Ponnusamy

Authors
  1. O. Martio
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  2. V. Miklyukov
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  3. S. Ponnusamy
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  4. M. Vuorinen
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Corresponding author

Correspondence to S. Ponnusamy.

Additional information

The work of the second author was partially supported by the INTAS, project 10170. The work of the third author was supported by NBHM grant and was completed during his visit to the University of Helsinki. The visit was supported by a partial travel grant from COSTED and the Commission on Development and Exchanges, International Mathematical Union.

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Martio, O., Miklyukov, V., Ponnusamy, S. et al. On Some Properties of Quasiplanes. Results. Math. 42, 107–113 (2002). https://doi.org/10.1007/BF03323557

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  • DOI: https://doi.org/10.1007/BF03323557

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