2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/55558This is the written version of my talk at SUSY '98. It presents a geometric characterisation of the allowed near-horizon geometries of supersymmetric branes. We focus primarily on the M2-brane, but results for other branes (e.g., the D3-brane) are also presented. Some new examples are discussed.11 pages (v2: minor correction)High Energy Physics - TheoryMathematical PhysicsDifferential GeometryMetric Geometrytext