https://neckpinch.com/authors/chong-song/New arXiv papers by Chong Song, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2608.10541/arxiv:2608.10541Tue, 11 Aug 2026 00:00:00 GMTTianyin Ren, Chong Song — In this paper, we observe that the (spacelike) mean curvature flow of a submanifold in a (pseudo-)Euclidean space is equivalent to a harmonic-Ricci flow with coupling constant α=−1 (or +1), for the corresponding Gauss map and the induced metric. The solitons of these two flows are also equivalent. As an application, we get a monotonicity formula for the spacelike mean curvature flow.Ricci flowMean curvature flowPhysics