Twisted-Austere Submanifolds in Euclidean Space

Thomas A. Ivey, Spiro Karigiannis

A twisted-austere $k$-fold $(M,\mu )$ in ${\mathbb{R}}^n$ consists of a $k$-dimensional submanifold $M$ of ${\mathbb{R}}^n$ together with a closed $1$-form $\mu$ on $M$ such that the `twiste…