OAI/Analysis/Mahler/SourceCoordinateExterior.lean
3 declarations, 0 contain sorry, 0 declared as axioms
- theorem
OAI.Mahler.extDeriv_sourceCoordinateFormline 13 - theorem
OAI.Mahler.MassHypotheses.coordinate_energy_extDerivline 31 - theorem
OAI.Mahler.MassHypotheses.coordinate_log_extDeriv_nonnegline 41Source documentation
The punctured Stokes integrand is nonnegative, using the nonnegative logarithmic complex Hessian in the positive frame.
theorem MassHypotheses.coordinate_log_extDeriv_nonneg (h : MassHypotheses (k+1) N m U f G) {x : Fin ((2*k+1)+1) → ℝ} (hx : sourceCoordinates k x ∈ U) (hne : x ≠ 0) : 0 ≤ extDeriv (sourceCoordinateForm (sourceCoordinates k) (logTau f) k) x (MahlerStokes.coordinateBasis ((2*k+1)+1)) := by …Mentions: OAI.Mahler.MassHypotheses, OAI.Mahler.sourceCoordinates, OAI.Mahler.sourceCoordinateForm, OAI.Mahler.logTau, OAI.MahlerStokes.coordinateBasis