https://neckpinch.com/authors/george-zacharopoulos/New arXiv papers by George Zacharopoulos, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2505.06872/arxiv:2505.06872Sun, 11 May 2025 00:00:00 GMTPanagiotis Gianniotis, George Zacharopoulos — In this paper we introduce a new functional on the space of G₂-structures which we call the G₂-Hilbert functional. It is uniquely determined by a few basic principles inspired by the Einstein-Hilbert functional in Riemannian Geometry, and it has similar variational behaviour with it. For instance, torsion-free and nearly G₂-structures are saddle critical points of the volume-normalized G₂-Hilbert functional. This allows us to uniquely distinguish two new flows of G₂-structures, which can be considered as analogues of the Ricci flow in G₂-geometry.Ricci flowGeneralized & G₂ flows