Sections / Section 5: General Hessian and Isoquant Geometry / gradientNormSq

Gradient Norm Sq

defprovedFoundations

Documentation

Lean 4 Proof

def gradientNormSq (J : ℕ) : ℝ := 1 / ↑J

Dependency Graph

Used by

gradientNormSq_pos

Location

thesis/CESProofs/Foundations/IsoquantGeometry.lean:31

Module Section

Differential Geometry of CES Isoquants (Gap #6)

In the same file

unitNormalComponent gradientNormSq_pos tangentSpace_is_onePerp induced_metric_eq_vecNormSq secondFundamentalFormQF gaussCurvature meanCurvatureTrace curvature_eq_neg_eigenvalue_sqrt secondFF_from_hessian gaussCurvature_pos meanCurvature_pos sectionalCurvature sectionalCurvature_nonneg sectionalCurvature_eq_zero_iff sectionalCurvature_explicit sectionalCurvature_from_K principalCurvature_trichotomy isoquant_umbilic spaceForm_at_symmetry intrinsic_always_nonneg