3 papers
math.DG2016
The Ball-Box Theorem for a Class of Non-differentiable Tangent Subbundles
Sina Türeli
We show that an analogue of the Ball-Box Theorem for step 2, completely non-integrable bundles from smooth sub-Riemannian geometry hold true for a class of non-differentiable tange…
math.CA2016
Integrability of Continuous Bundles
Stefano Luzzatto, Sina Tureli, Khadim War
We give new sufficient conditions for the integrability and unique integrability of continuous tangent sub-bundles on manifolds of arbitrary dimension, generalizing Frobenius' clas…
math.DG2014
A Frobenius Theorem for Corank-1 Continuous Distributions in Dimensions two and three
Stefano Luzzatto, Sina Tureli, Khadim War
We formulate a notion of (uniform) asymptotic involutivity and show that it implies (unique) integrability of corank-1 continuous distributions in dimensions three or less. This ge…