Examples of Curvature Inhomogeneous Submanifolds with Constant Ricci Eigenvalues

Jianquan Ge; Yuyang Zhao

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arXiv · 2608.03519

Examples of Curvature Inhomogeneous Submanifolds with Constant Ricci Eigenvalues

Jianquan Ge·Yuyang Zhao

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Abstract

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.

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Jianquan Ge, Yuyang Zhao. 2026-08-04. Examples of Curvature Inhomogeneous Submanifolds with Constant Ricci Eigenvalues. https://arxiv.org/abs/2608.03519

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