Jihun Kim

collaborators

2 papers

math.DG2025

Higher order obstructions to Riccati-type equations

Jihun Kim, Paul-Andi Nagy, JeongHyeong Park

We develop new techniques in order to deal with Riccati-type equations, subject to a further algebraic constraint, on Riemannian manifolds $(M^{3}, g)$ . We find that the obstruction t…

math.DG2024

Weakly Einstein hypersurfaces in space forms

Jihun Kim, Yuri Nikolayevsky, JeongHyeong Park

A Riemannian manifold $(M, g)$ is called \emph{weakly Einstein} if the tensor $R_{iab c} R_{j}^{ab c}$ is a scalar multiple of the metric tensor $g_{ij}$ . We give a complete classifi…