Einstein 扭曲积流形与屏蔽泊松方程
微分几何
2025-06-26 v1 数学物理
math.MP
摘要
我们研究的是Einstein 扭曲积流形，其中扭曲函数必须满足屏蔽泊松方程的齐次形式。在此假设下，我们展示了流形的维数、（常数负）黎凡曲率与屏蔽参数之间通过二次方程相互关联。
关键词
引用
@article{arxiv.2407.20381,
title = {Einstein warped-product manifolds and the screened Poisson equation},
author = {Alexander Pigazzini and Luca Lussardi and Magdalena Toda and Andrew DeBenedictis},
journal= {arXiv preprint arXiv:2407.20381},
year = {2025}
}
备注
7 pages. Preprint of manuscript accepted for publication in the Contemporary Mathematics series of the American Mathematical Society - Book entitled: "Recent Advances in Differential Geometry and Related Areas" to appear in 2025