Julieth Saavedra

collaborators

2 papers

math.DG2026

Geometric Reductions of the $G_{2}$ -Hilbert Functional via Circle Actions

Julieth Saavedra

In this paper, we study critical points and gradient flows of the $G_{2}$ --Hilbert functional on a manifolds with free $S^{1}$ --actions. We analyze $S^{1}$ --invariant $G_…

math.DG2026

Symmetries and the First Laplace Eigenvalue of Lawson Surfaces

Julieth Saavedra, A. J. Castrillón Vásquez

In this paper, we study the first eigenvalue of the Laplace--Beltrami operator on the Lawson minimal surfaces $ξ_{m, k}$ embedded in the unit three-sphere $S^{3}$ . Motivated…

Geometric Reductions of the G2​-Hilbert Functional via Circle Actions

Symmetries and the First Laplace Eigenvalue of Lawson Surfaces

Geometric Reductions of the $G_{2}$ -Hilbert Functional via Circle Actions