Tristan Rivière

activity

20232025

collaborators

3 papers

math.DG2025

Minimizing the Gauss map area of surfaces in $S^{3}$

Gerard Orriols, Tristan Rivière

We establish the lower bound of $4 π (1 + g)$ for the area of the Gauss map of any immersion of a closed oriented surface of genus $g$ into $S^{3}$ , taking values in the Grassma…

math.DG2024

Gluing instantons à la Brezis-Coron in dimension four and the dipole construction

Luca Martinazzi, Tristan Rivière

Given a connection $A$ on a $S U (2)$ -bundle $P$ over $R^{4}$ with finite Yang-Mills energy $Y M (A)$ and nonzero curvature $F_{A} (0)$ at the origin, and given $ρ > 0$ small enough,…

math.DG2023

A Variational Construction of Hamiltonian Stationary Surfaces with Isolated Schoen-Wolfson Conical Singularities

Filippo Gaia, Gerard Orriols, Tristan Rivière

We construct using variational methods Hamiltonian Stationary Surfaces with Isolated Schoen-Wolfson Conical Singularities. We obtain these surfaces through a convergence process re…

Minimizing the Gauss map area of surfaces in S3

Gluing instantons à la Brezis-Coron in dimension four and the dipole construction

A Variational Construction of Hamiltonian Stationary Surfaces with Isolated Schoen-Wolfson Conical Singularities

Minimizing the Gauss map area of surfaces in $S^{3}$