Icaro Gonçalves

activity

20142024

most citedBilinear Covariants and Spinor Fields Duality in Quantum Clifford Algebras

62 citations · 62 across the 4 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.DG2017

Poincaré index and the volume functional of unit vector fields on punctured spheres

Fabiano G. B. Brito, André O. Gomes, Icaro Gonçalves

For $n \geq 1$ , we exhibit a lower bound for the volume of a unit vector field on $S^{2 n + 1} \ {\pm p}$ depending on the absolute values of its Poincaré indices aro…

math.DG2017

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 $M^{2 n + 1}$ , $n \geq 1$ , we exhibit a nontrivial lower bound for its energy which depends on the degree of the Gau…