2024/10/27 by Zachary Norfolk, Norfolk, Zachary
Engineering · Mathematics · Computer Science · #graph theory and CDMA systems #Rings, Modules, and Algebras #Advanced Algebra and Logic
paper · pdf · doi:10.48550/arxiv.2410.20467
We introduce a third-order differential condition, analogous to nonzero torsion of a curve, which guarantees a submanifold of Euclidean space is totally skew in a small neighborhood. This condition is used to construct improved totally skew embeddings of ℝn, and to solve the totally skew embedding problem for ℝn with n a power of 2. Some algebraic and geometric properties of this condition are also discussed.