Title: Nonlinear oblique projections,
Abstract: We construct nonlinear oblique projections along subalgebras of nilpotent Lie
algebras in terms of the Baker-Campbell-Hausdorff multiplication. We prove that
these nonlinear projections are real analytic on every Schubert cell of the
Grassmann manifold whose points are the subalgebras of the nilpotent Lie
algebra under consideration.