Complex vector fields and hypolleptic partial differential operators

• We prove a subelliptic estimate for systems of complex vector fields under some assumptions that generalize the essential pseudoconcavity for CR manifolds, that was first introduced by two of the authors; and the Hormander's bracket condition for real vector fields. Applications are given to prove the hypoellipticity of first order systems and second order partial differential operators. Finally we describe a class of compact homogeneous CR manifolds for which the distribution of (0,1) vector fields satisfies a subelliptic estimate.

Subject headings

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Keyword

Complex distribution; subelliptic estimate; hypoellipticity; Levi form; CR manifold; pseudoconcavity; flag manifold

MATHEMATICS

MATEMATIK

Publication and Content Type

ref (subject category)

art (subject category)