Positive Measure of Unions of Variable Surfaces

Alex Iosevich, Zhangze Li, Krystal Taylor

Let $E\subset {\mathbb{R}}^d$, $d\ge 2$, be compact, and let $\ddot{I}•(x,y)$ be a smooth function satisfying the Phong--Stein rotational curvature condition on $\{\ddot{I}•(x,y)=1\}$. We prove t…