AI 中文总结
该研究构造了两类具有常Ricci特征值的曲率非齐次黎曼流形，分别源自Einstein扭曲积和黎曼Schwarzschild-Tangherlini流形，明确了其特征值数量及等距浸入/嵌入的最小余维数。
AI 中文摘要
我们构造了两类具有常Ricci特征值的曲率非齐次黎曼流形。第一类源自Einstein扭曲积，具有两个不同的Ricci特征值，且容许余维数为2的极小局部等距浸入；第二类源自黎曼Schwarzschild-Tangherlini流形，具有k+1个不同的Ricci特征值，且容许余维数为k+2的等距嵌入，该嵌入是适配积类中最小的。
英文摘要
We construct two families of curvature inhomogeneous Riemannian manifolds with constant Ricci eigenvalues. The first, derived from the Einstein warped products, has two distinct Ricci eigenvalues and admits a local isometric immersion of minimum codimension two. The second, arising from the Riemannian Schwarzschild--Tangherlini manifold, has $k+1$ distinct Ricci eigenvalues and admits an isometric embedding of codimension $k+2$, which is the smallest within the adapted product class.
