Geometric criteria for $C^{1,\alpha }$ rectifiability

Giacomo Del Nin, Kennedy Obinna Idu

We prove criteria for ${\mathcal{H}}^k$-rectifiability of subsets of ${\mathbb{R}}^n$ with $C^{1,\alpha }$ maps, $0<\alpha \le 1$, in terms of suitable approximate tangent paraboloids. We also pr…