Julieth Saavedra

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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…

math.DG2024

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

Henrique N. Sá 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 Kähler geometr…

math.DG2024

Riemannian Geometry of $G_{2}$ -type Real Flag Manifolds

Brian Grajales, Gabriel Rondón, Julieth Saavedra

In this paper, we investigate homogeneous Riemannian geometry on real flag manifolds of the split real form of $g_{2}$ . We characterize the metrics that are invariant unde…

math.DG2023

On the Laplacian coflow of invariant $G_{2}$ -structures and its solitons

Andrés J. Moreno, Julieth Saavedra

In this work, we approach the Laplacian coflow of a coclosed $G_{2}$ -structure $φ$ using the formulae for the irreducible $G_{2}$ -decomposition of the Hodge Laplacian and the Lie deriv…

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

Riemannian Geometry of G2​-type Real Flag Manifolds

On the Laplacian coflow of invariant G2​-structures and its solitons

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

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

Riemannian Geometry of $G_{2}$ -type Real Flag Manifolds

On the Laplacian coflow of invariant $G_{2}$ -structures and its solitons