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Intrinsic regular submanifolds in Heisenberg groups are differentiable graphs

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Abstract

We characterize intrinsic regular submanifolds in the Heisenberg group as intrinsic differentiable graphs.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Trento, Via Sommarive 14, 38050, Povo (Trento), Italy

    Gabriella Arena & Raul Serapioni

Authors
  1. Gabriella Arena
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  2. Raul Serapioni
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Correspondence to Gabriella Arena.

Additional information

G. Arena is supported by MIUR (Italy), by INDAM and by University of Trento.

R. Serapioni is supported by MIUR (Italy), by GALA project of the Sixth Framework Programme of European Community and by University of Trento.

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Arena, G., Serapioni, R. Intrinsic regular submanifolds in Heisenberg groups are differentiable graphs. Calc. Var. 35, 517–536 (2009). https://doi.org/10.1007/s00526-008-0218-x

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  • DOI: https://doi.org/10.1007/s00526-008-0218-x

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