Henrique N. Sá Earp

activity

20052026

most citedA constructive algorithm for the Cartan decomposition of SU(2^N)

29 citations · 165 across the 19 of their papers we have counts for

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15 papers · 1 filter

math.DG2026

Taylor Formulas for H-structures

Lucca Delboni, Henrique Sá Earp

We give a uniform second-order Taylor formula for tensorial Riemannian $H$ -structures in Riemannian normal coordinates whose initial frame is $H$ -adapted. For a defining multi-tens…

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…

math.DG2021★ 11 cited

The heterotic $G_{2}$ system on contact Calabi--Yau $7$ -manifolds

Jason D. Lotay, Henrique N. Sá Earp

We obtain non-trivial solutions to the heterotic $G_{2}$ system, which are defined on the total spaces of non-trivial circle bundles over Calabi--Yau $3$ -orbifolds. By adjusting…

math.DG2019★ 19 cited

Harmonic flow of geometric structures

Eric Loubeau, Henrique N. Sá Earp

We give a twistorial interpretation of geometric structures on a Riemannian manifold, as sections of homogeneous fibre bundles, following an original insight by Wood (2003). The na…

math.DG2019★ 6 cited

Instantons on Sasakian 7-manifolds

Luis E. Portilla, Henrique N. Sá Earp

We study a natural contact instanton (CI) equation on gauge fields over 7-dimensional Sasakian manifolds, which is closely related both to the transverse Hermitian Yang-Mills (tHYM…

math.DG2017★ 1 cited

The Weitzenböck formula for the Fueter-Dirac operator

Andrés J. Moreno, Henrique N. Sá Earp

We find Weitzenböck formula for the Fueter-Dirac operator which controls the infinitesimal deformations of an associative submanifold in a $7$ --manifold with a $G_{2}$ --structure. We…

math.DG2016★ 6 cited

Tangent cones of Hermitian Yang-Mills connections with isolated singularities

Adam Jacob, Henrique Sá Earp, Thomas Walpuski

We give a simple direct proof of uniqueness of tangent cones for singular projectively Hermitian Yang-Mills connections on reflexive sheaves at isolated singularities modelled on $…

math.DG2016★ 13 cited

Gauge theory and G2-geometry on Calabi-Yau links

Omegar Calvo-Andrade, Lázaro O. Rodríguez Díaz, Henrique N. Sá Earp

The $7$ -dimensional link $K$ of a weighted homogeneous hypersurface on the round $9$ -sphere in $C^{5}$ has a nontrivial null Sasakian structure which is contact Calabi-Yau,…

math.DG2013★ 27 cited

$G_{2}$ -instantons on twisted connected sums

Henrique Sá Earp, Thomas Walpuski

We introduce a method to construct $G_{2}$ -instantons over compact $G_{2}$ -manifolds arising as the twisted connected sum of a matching pair of building blocks [Kov03,KL11,CHNP12]. Our…

math.DG2011

G2-instantons over Kovalev manifolds II