https://neckpinch.com/authors/eva-kopfer/New arXiv papers by Eva Kopfer, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2306.01649/arxiv:2306.01649Fri, 02 Jun 2023 00:00:00 GMTEva Kopfer, Jeffrey Streets — We prove results relating the theory of optimal transport and generalized Ricci flow. We define an adapted cost functional for measures using a solution of the associated dilaton flow. This determines a formal notion of geodesics in the space of measures, and we show geodesic convexity of an associated entropy functional. Finally, we show monotonicity of the cost along the backwards heat flow, and use this to give a new proof of the monotonicity of the energy functional along generalized Ricci flow.Ricci flowGeneralized & G₂ flowsLimit spaces & RCD https://neckpinch.com/papers/2207.05633/arxiv:2207.05633Tue, 12 Jul 2022 00:00:00 GMTEva Kopfer, Jeffrey Streets — As a consequence of the Bochner formula for the Bismut connection acting on gradients, we show sharp universal Poincaré and log-Sobolev inequalities along solutions to generalized Ricci flow. Using the two-form potential we define a twisted connection on spacetime which determines an adapted Brownian motion on the frame bundle, yielding an adapted Malliavin gradient on path space. We show a Bochner formula for this operator, leading to characterizations of generalized Ricci flow in terms of universal Poincaré and log-Sobolev type inequalities for the associated Malliavin gradient and Ornstein-Uhlenbeck operator.Ricci flowGeneralized & G₂ flowsPerelman entropy