29 citations · 165 across the 19 of their papers we have counts for
20 papers
Taylor Formulas for H-structures
Lucca Delboni, Henrique Sá Earp
We give a uniform second-order Taylor formula for tensorial Riemannian -structures in Riemannian normal coordinates whose initial frame is -adapted. For a defining multi-tens…
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, , $\mathrm{Spi…
Harmonic flow of quaternion-Kähler structures
Udhav Fowdar, Henrique N. Sá Earp
We formulate the gradient Dirichlet flow of -structures on -manifolds, as the first systematic study of a geometric quaternion-Kähler (QK) flow. Its critical conditi…
Flows of geometric structures
Daniel Fadel, Eric Loubeau, Andrés J. Moreno +1
We develop an abstract theory of flows of geometric -structures, i.e., flows of tensor fields defining -reductions of the frame bundle, for a closed and connected subgroup $H…
Flows of -structures on contact Calabi--Yau -manifolds
Jason Lotay, Henrique N. Sá Earp, Julieth Saavedra
We study the Laplacian flow and coflow on contact Calabi-Yau -manifolds. We show that the natural initial condition leads to an ancient solution of the Laplacian flow with a fin…
Harmonic flow of -structures
Shubham Dwivedi, Eric Loubeau, Henrique N. Sá Earp
We formulate and study the isometric flow of -structures on compact -manifolds, as an instance of the harmonic flow of geometric structures. Starting from a ge…
Harmonic -invariant -structures on the -sphere
Eric Loubeau, Andrés J. Moreno, Henrique N. Sá Earp +1
We describe the -dimensional space of -invariant -structures on the homogeneous -sphere as . In those te…
The heterotic system on contact Calabi--Yau -manifolds
Jason D. Lotay, Henrique N. Sá Earp
We obtain non-trivial solutions to the heterotic system, which are defined on the total spaces of non-trivial circle bundles over Calabi--Yau -orbifolds. By adjusting…
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…
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…
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 --manifold with a --structure. We…
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 $…
Gauge theory and G2-geometry on Calabi-Yau links
Omegar Calvo-Andrade, Lázaro O. Rodríguez Díaz, Henrique N. Sá Earp
The -dimensional link of a weighted homogeneous hypersurface on the round -sphere in has a nontrivial null Sasakian structure which is contact Calabi-Yau,…
Construction of G_2-instantons via twisted connected sums
Grégoire Menet, Johannes Nordström, Henrique N. Sá Earp
We propose a method to construct G_2-instantons over a compact twisted connected sum G_2-manifold, applying a gluing result of Sá Earp and Walpuski to instantons over a pair of 7-m…
Non-Euclidean ideal spectrometer
Henrique N. Sá Earp, Bernardo de Barros Correia Kyotoku, Vladmir Sicca
We describe the mathematical scheme for an anomaly-free ideal spectrometer, based on a 2-dimensional plane medium with conical regions of bounded slope. Moreover, the construction…
-instantons on twisted connected sums
Henrique Sá Earp, Thomas Walpuski
We introduce a method to construct -instantons over compact -manifolds arising as the twisted connected sum of a matching pair of building blocks [Kov03,KL11,CHNP12]. Our…
The Entropy Law and the impossibility of perpetual economic growth
Henrique N. Sá Earp, Ademar R. Romeiro
Every production-recycling iteration accumulates an inevitable proportion of its matter-energy in the environment, lest the production process itself would be a system in perpetual…
Holomorphic bundles for higher dimensional gauge theory
Marcos B. Jardim, Grégoire Menet, Daniela M. Prata +1
Motivated by gauge theory under special holonomy, we present techniques to produce holomorphic bundles over certain noncompact folds, called building blocks, satisfying a stabi…
G2-instantons over Kovalev manifolds II
Henrique N. Sá Earp
This is the first nontrivial construction to date of instantons over a compact manifold with holonomy exactly . The HYM connections on asymptotically stable bundles over Koval…
A constructive algorithm for the Cartan decomposition of SU(2^N)
Henrique N. Sá Earp, Jiannis K. Pachos
We present an explicit numerical method to obtain the Cartan-Khaneja-Glaser decomposition of a general element G of SU(2^N) in terms of its `Cartan' and `non-Cartan' components. Th…