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Mappings of Bounded Mean Distortion and Cohomology

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Abstract

We obtain a quantitative cohomological boundedness theorem for closed manifolds receiving entire mappings of bounded mean distortion and finite lower order. We also prove an equidistribution theorem for mappings of finite distortion.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, FI-00014, Helsinki, Finland

    Pekka Pankka

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  1. Pekka Pankka
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Correspondence to Pekka Pankka.

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This work was supported in part by the NSF grants DMS-0353549 and DMS-0757732, and the Academy of Finland project 1126836.

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Pankka, P. Mappings of Bounded Mean Distortion and Cohomology. Geom. Funct. Anal. 20, 229–242 (2010). https://doi.org/10.1007/s00039-010-0054-y

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  • DOI: https://doi.org/10.1007/s00039-010-0054-y

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