Henrique N. Sá Earp

activity

20162026

G_{2}

system on contact Calabi--Yau

7

-manifolds

11 citations · 27 across the 7 of their papers we have counts for

collaborators

12 papers

math.DG2026

Ricci-flat string algebroids

Agnaldo A. da Silva, Henrique N. Sá Earp, Bernardo S. Vieira

We investigate geometric structures defined by 4-forms, encompassing important classes of geometric structures with torsion including almost Hermitian, $G_{2}$ , $\mathrm{Spi…

math.DG2023

Harmonic flow of quaternion-Kähler structures

Udhav Fowdar, Henrique N. Sá Earp

We formulate the gradient Dirichlet flow of $S p (2) S p (1)$ -structures on $8$ -manifolds, as the first systematic study of a geometric quaternion-Kähler (QK) flow. Its critical conditi…

math.DG2022

Flows of geometric structures

Daniel Fadel, Eric Loubeau, Andrés J. Moreno +1

We develop an abstract theory of flows of geometric $H$ -structures, i.e., flows of tensor fields defining $H$ -reductions of the frame bundle, for a closed and connected subgroup $H…

math.DG2021★ 10 cited

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

Jason Lotay, Henrique N. Sá Earp, Julieth Saavedra

We study the Laplacian flow and coflow on contact Calabi-Yau $7$ -manifolds. We show that the natural initial condition leads to an ancient solution of the Laplacian flow with a fin…

math.DG2021★ 3 cited

Harmonic flow of $Spin (7)$ -structures

Shubham Dwivedi, Eric Loubeau, Henrique N. Sá Earp

We formulate and study the isometric flow of $Spin (7)$ -structures on compact $8$ -manifolds, as an instance of the harmonic flow of geometric structures. Starting from a ge…

math.DG2021★ 3 cited

Harmonic $S p (2)$ -invariant $G_{2}$ -structures on the $7$ -sphere

Eric Loubeau, Andrés J. Moreno, Henrique N. Sá Earp +1

We describe the $10$ -dimensional space of $S p (2)$ -invariant $G_{2}$ -structures on the homogeneous $7$ -sphere $S^{7} = S p (2) / S p (1)$ as $R^{+} \times G l^{+} (3, R)$ . In those te…

Ricci-flat string algebroids

Harmonic flow of quaternion-Kähler structures

Flows of geometric structures

Flows of G2​-structures on contact Calabi--Yau 7-manifolds

Harmonic flow of Spin(7)-structures

Harmonic Sp(2)-invariant G2​-structures on the 7-sphere

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

Harmonic flow of $Spin (7)$ -structures

Harmonic $S p (2)$ -invariant $G_{2}$ -structures on the $7$ -sphere