Tristan Rivière

collaborators

2 papers

math.DG2025

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

Luca Martinazzi, Tristan RiviÃ¨re

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 $I ¨ > 0$ small enough…

math.DG2025

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

Gerard Orriols, Tristan RiviÃ¨re

We establish the lower bound of $4 I ¨ (1 + g)$ 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 Grassm…

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

Minimizing the Gauss map area of surfaces in S3

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