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Integrability conditions for Heisenberg and Grushin-type distributions

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Abstract

This paper deals with integrability conditions for sub-Riemannian systems of equations in the case of Heisenberg-type distributions and Grushin distributions of step 2 and 3.

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Authors and Affiliations

  1. Department of Mathematics, Eastern Michigan University, Ypsilanti, MI, 48197, USA

    Ovidiu Calin

  2. Department of Mathematics and Statistics, Georgetown University, Washington D.C., 20057, USA

    Der-Chen Chang

  3. Department of Mathematics, Fu Jen Catholic University, Taipei, 242, Taiwan, ROC

    Der-Chen Chang

  4. Mathematical Sciences Institute, Australian National University, Canberra, ACT, 0200, Australia

    Michael Eastwood

Authors
  1. Ovidiu Calin
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  2. Der-Chen Chang
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  3. Michael Eastwood
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Corresponding author

Correspondence to Der-Chen Chang.

Additional information

Dedicate to Professor Lawrence Zalcman on the occasion of his 70th birthday.

This research project is partially supported by the Australian Research Council and by NSF grant DMS-1203845 and Hong Kong RGC competitive earmarked research grants \(\#\)601410, \(\#\)601813.

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Calin, O., Chang, DC. & Eastwood, M. Integrability conditions for Heisenberg and Grushin-type distributions. Anal.Math.Phys. 4, 99–114 (2014). https://doi.org/10.1007/s13324-014-0073-1

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  • DOI: https://doi.org/10.1007/s13324-014-0073-1

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