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Aspects of the Levi form

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Abstract

We discuss various analytical and geometrical aspects of the Levi form, which is associated with a CR manifold having any CR dimension and any CR codimension.

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Notes

  1. This can be achieved by applying the Gram-Schmidt orthonormalising process to the \(\ell \)-tuple \((\nabla \rho _1(x),\ldots ,\nabla \rho _\ell (x))\).

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Authors and Affiliations

  1. Mathematisches Institut, Universität Leipzig, Augustusplatz 10/11, 04109, Leipzig, Germany

    Judith Brinkschulte

  2. Department of Mathematics, Stony Brook University, Stony Brook, NY, 11794, USA

    C. Denson Hill

  3. Institut für Mathematik, Humboldt-Universität zu Berlin, Unter den Linden 6, 10099, Berlin, Germany

    Jürgen Leiterer

  4. Dipartimento di Matematica, II Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, 00133, Roma, Italy

    Mauro Nacinovich

Authors
  1. Judith Brinkschulte
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  2. C. Denson Hill
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  3. Jürgen Leiterer
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  4. Mauro Nacinovich
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Correspondence to Mauro Nacinovich.

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Brinkschulte, J., Hill, C.D., Leiterer, J. et al. Aspects of the Levi form. Boll Unione Mat Ital 13, 71–89 (2020). https://doi.org/10.1007/s40574-019-00204-w

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