# Geometry at Infinity

Priority programme of the DFG

## Welcome to SPP 2026

This is the platform of a coordinated research programme in mathematics, funded by the German Research Foundation (DFG).  It comprises 80 research projects in the fields of differential geometry, geometric topology, and global analysis. More than 80 researchers from doctoral to professorial level and based at more than 20 German and Swiss universities are represented in this programme.

## Latest publications

#### Vortices over Riemann surfaces and dominated splittingsThomas Mettler, Gabriel P. Paternain

We associate a flow $\phi$ to a solution of the vortex equations on a closed oriented Riemannian 2-manifold $(M,g)$ of negative Euler characteristic…

#### Metrisability of projective surfaces and pseudo-holomorphic curvesThomas Mettler

We show that the metrisability of an oriented projective surface is equivalent to the existence of pseudo-holomorphic curves. A projective structure…

#### Constructing electrically charged Riemannian manifolds with minimal boundary, prescribed asymptotics, and controlled massArmando J. Cabrera Pacheco, Carla Cederbaum, Penelope Gehring, Alejandro Penuela Diaz

In 2015, Mantoulidis and Schoen constructed 3-dimensional asymptotically Euclidean manifolds with non-negative scalar curvature whose ADM mass can be…

#### Ricci flow starting from an embedded closed convex surface in $\mathbb{R}^3$Jiuzhou Huang, Jiawei Liu

In this paper, we establish the existence and uniqueness of Ricci flow that admits an embedded closed convex surface in $\mathbb{R}^3$ as metric…