A topological lower bound for the energy of a unit vector field on a closed Euclidean hypersurface

Fabiano G. B. Brito, Icaro Gonçalves, Adriana V. Nicoli

For a unit vector field on a closed immersed Euclidean hypersurface $M^{2n+1}$, $n\ge 1$, we exhibit a nontrivial lower bound for its energy which depends on the degree of the Gau…