https://neckpinch.com/authors/kaveh-eftekharinasab/New arXiv papers by Kaveh Eftekharinasab, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/2007.13832/arxiv:2007.13832Mon, 27 Jul 2020 00:00:00 GMTKaveh Eftekharinasab, Valentyna Petrusenko — We establish a framework, namely, nuclear bounded Fréchet manifolds endowed with Riemann-Finsler structures to study geodesic curves on certain infinite dimensional manifolds such as the manifold of Riemannian metrics on a closed manifold. We prove on these manifolds geodesics exist locally and they are length minimizing in a sense. Moreover, we show that a curve on these manifolds is geodesic if and only if it satisfies a collection of Euler-Lagrange equations. As an application, without much difficulty, we prove that the solution to the Ricci flow on an Einstein manifold is not geodesic.Ricci flowEinstein metrics https://neckpinch.com/papers/1604.05853/arxiv:1604.05853Wed, 20 Apr 2016 00:00:00 GMTKaveh Eftekharinasab — In this short note, we give simple proof of the Ricci flow's local existence and uniqueness on closed Einstein manifolds. We suggest a new setting for studying the space of Riemannian metrics on a compact manifold.Ricci flowEinstein metricsStability & uniquenessHarmonic maps & DeTurck trick