Prescribing Ricci curvature on a Product of Spheres

Autor:	Buttsworth, Timothy, Krishnan, Anusha M.
Rok vydání:	2020
Předmět:	Mathematics - Differential Geometry 53C21
Druh dokumentu:	Working Paper
Popis:	We prove an existence result for the prescribed Ricci curvature equation for certain doubly warped product metrics on $\mathbb{S}^{d_1+1}\times \mathbb{S}^{d_2}$, where $d_i \geq 2$. If $T$ is a metric satisfying certain curvature assumptions, we show that $T$ can be scaled independently on the two factors so as to itself be the Ricci tensor of some metric. Comment: 25 pages, no figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2010.05118 Zobrazit plný text záznamu View this record from Arxiv