Julieth Saavedra

collaborators

3 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. CastrillÃ³n VÃ¡squez

In this paper, we study the first eigenvalue of the Laplace--Beltrami operator on the Lawson minimal surfaces $I^¾_{m, k}$ embedded in the unit three-sphere $S^{3}$ . Motivated…

math.DG2025

Laplacian coflows of $G_{2}$ -structures on contact Calabi--Yau 7-manifolds

Henrique N. SÃ¡ Earp, Julieth Saavedra, Caleb Suan

We explore three versions of the Laplacian coflow of $G_{2}$ -structures on circle fibrations over Calabi--Yau 3-folds, interpreting their dimensional reductions to the KÃ¤hler geomet…

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

Symmetries and the First Laplace Eigenvalue of Lawson Surfaces

Laplacian coflows of G2​-structures on contact Calabi--Yau 7-manifolds

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

Laplacian coflows of $G_{2}$ -structures on contact Calabi--Yau 7-manifolds