A simple proof of the short-time existence and uniqueness for Ricci flow

Abstract

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.

arXiv admin note: text overlap with arXiv:1508.05239

References in corpus (3)

• Indices of pseudodifferential operators on open manifolds
• Geometry of Bounded Frechet Manifolds
• Transversality and Lipschitz-Fredholm maps

Cited by in corpus (1)

• Finslerian geodesics on Fréchet manifolds