Global homotopy formulas on q-concave CR manifolds for large degrees

Till Brönnle (1) , Christine Laurent-Thiébaut (2) , Jürgen Leiterer (3)

1 Department of Mathematics [Imperial College London]
2 IF - Institut Fourier
3 Institut für Mathematik [Berlin]

Using functional analysis and a Friedrichs approximation lemma for first order differential operators, we derive a global homotopy formula in large degrees for the tangential Cauchy-Riemann operator from local homotopy formulas without loss of regularity.

Mots clés: Homotopy formula; Tangential Cauchy Riemann equation; CR manifold

Domaines: Variables complexes [math.CV]

Till Brönnle, Christine Laurent-Thiébaut, Jürgen Leiterer. Global homotopy formulas on q-concave CR manifolds for large degrees. Journal of Geometric Analysis, 2010, 20, pp.90-106. ⟨hal-00345052⟩