Tomás S. R. Silva

activity

20232026

G_{2}

topology on contact Calabi-Yau

7

-manifolds

11 citations · 11 across the 6 of their papers we have counts for

collaborators

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4 papers · 1 filter

math.DG2026

Minimising Willmore Energy via Neural Flow

Edward Hirst, Henrique N. Sá Earp, Tomás S. R. Silva

The neural Willmore flow of a closed oriented $2$ -surface in $R^{3}$ is introduced as a natural evolution process to minimise the Willmore energy, which is the squared $L^{2}$ …

math.DG2026

Neural and numerical methods for $G_{2}$ -structures on contact Calabi-Yau 7-manifolds

Elli Heyes, Edward Hirst, Henrique N. Sá Earp +1

A numerical framework for approximating $G_{2}$ -structure 3-forms on contact Calabi-Yau manifolds is presented. The approach proceeds in three stages: first, existing neural…

math.DG2025

The exterior derivative and the mean value equality in $R^{n}$

Daniel Fadel, Henrique N. Sá Earp, Tomás S. R. Silva

This survey revisits classical results in vector calculus and analysis by exploring a generalised perspective on the exterior derivative, interpreting it as a measure of "infinites…

math.DG2023★ 11 cited

Machine learning Sasakian and $G_{2}$ topology on contact Calabi-Yau $7$ -manifolds

Daattavya Aggarwal, Yang-Hui He, Elli Heyes +3

We propose a machine learning approach to study topological quantities related to the Sasakian and $G_{2}$ -geometries of contact Calabi-Yau $7$ -manifolds. Specifically, we compute da…

Minimising Willmore Energy via Neural Flow

Neural and numerical methods for G2​-structures on contact Calabi-Yau 7-manifolds

The exterior derivative and the mean value equality in Rn

Machine learning Sasakian and G2​ topology on contact Calabi-Yau 7-manifolds

Neural and numerical methods for $G_{2}$ -structures on contact Calabi-Yau 7-manifolds

The exterior derivative and the mean value equality in $R^{n}$

Machine learning Sasakian and $G_{2}$ topology on contact Calabi-Yau $7$ -manifolds