n296085SE Academic Article uri icon

abstract

  • 2016, Mathematica Josephina, Inc. Let M CN and MCN be real-analytic CR submanifolds, with M minimal. We provide a new sufficient condition, that happens to be also essentially necessary, for all sufficiently smooth CR maps h: U M defined on a connected open subset of M and of rank larger than a prescribed integer r to be real-analytic on a dense open subset of U. This condition corresponds to the nonexistence of nontrivial holomorphic deformations of germs of real-analytic CR mappings whose rank is larger than r. As a consequence, we obtain several new results about analyticity of CR mappings that, at the same time, generalize and unify a number of previous existing ones.

published proceedings

  • The Journal of Geometric Analysis

author list (cited authors)

  • Mir, N.

publication date

  • January 1, 2017 11:11 AM