Invariant Hyperplane Sections of Vector Fields on the Product of Spheres

Joji Benny, Soumen Sarkar

Let $S_{p,q}$ be the hypersurface in ${\mathbb{R}}^{p+q+1}$ defined by the following: $$ S_{p,q} := \left\lbrace (x_1,\ldots,x_{p+1},x_{p+2},\ldots,x_{p+q+1}) \in \mathbb{R}^{p+q+1}…