Geodesic
Tangential Cauchy-Riemann equations on quadratic manifolds
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 13 (2002) no. 3-4, pp. 285-294.

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We study the tangential Cauchy-Riemann equations $\bar{\partial}_{b} u = \omega$ for $(0,q)$-forms on quadratic $CR$ manifolds. We discuss solvability for data $\omega$ in the Schwartz class and describe the range of the tangential Cauchy-Riemann operator in terms of the signatures of the scalar components of the Levi form. 
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Peloso, Marco M.; Ricci, Fulvio. Tangential Cauchy-Riemann equations on quadratic  manifolds. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 13 (2002) no. 3-4, pp. 285-294. http://geodesic.mathdoc.fr/item/RLIN_2002_9_13_3-4_a9/

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