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math.DG2026
Interlacing of the Volume and Half-Volume Spectra
Xiaoxiang Jiao, Hangyue Zhu
We give a direct proof of the weak interlacing inequalities \[ω_p\leq\widetildeω_p\leqω_{p+1}\] between the volume and half-volume spectra of a closed connected Riemannian manifold…
math.DG2026
Local Variational Properties of Non-degenerate Free Boundary Minimal Hypersurfaces
Xiaoxiang Jiao, Qinhan Zhao, Hangyue Zhu
We establish local variational characterizations of non-degenerate free-boundary minimal hypersurfaces in compact Riemannian manifolds with boundary. For a two-sided strictly stabl…
math.DG2025
Existence of multiple constant mean curvature hypersurfaces for varying Riemannian metrics
Xiaoxiang Jiao, Wenduo Zou
Given a closed Riemannian manifold ,.In this paper,we will prove that for any ,suppose the number of closed hypersurfaces is finite,then t…