4 citations · 8 across the 7 of their papers we have counts for
8 papers
Rigidity and flexibility under spectral Ricci lower bounds and mean-convex boundary
Gioacchino Antonelli, Yangyang Li, Paul Sweeney
We study Riemannian manifolds with mean-convex boundary whose Ricci curvature is nonnegative in a spectral sense. Our first main result is a sharp spectral extension of a…
Existence and regularity of min-max anisotropic minimal hypersurfaces
Guido De Philippis, Antonio De Rosa, Yangyang Li
In any closed smooth Riemannian manifold of dimension at least three, we use the min-max construction to find anisotropic minimal hyper-surfaces with respect to elliptic integrands…
Minimal hypersurfaces for generic metrics in dimension 8
Yangyang Li, Zhihan Wang
We show that in an -dimensional closed Riemmanian manifold with -generic metrics, every minimal hypersurface is smooth and nondegenerate. This confirms a full generic…
Equivariant -manifolds with positive scalar curvature
Tsz-Kiu Aaron Chow, Yangyang Li
In this paper, for any compact Lie group , we show that the space of -invariant Riemannian metrics with positive scalar curvature (PSC) on any closed three-manifold is either…
Generic Regularity of Minimal Hypersurfaces in Dimension 8
Yangyang Li, Zhihan Wang
In this paper, we show that every -dimensional closed Riemmanian manifold with -generic metrics admits a smooth minimal hypersurface. This generalized previous results…
An Improved Morse Index Bound of Min-Max Minimal Hypersurfaces
Yangyang Li
In this paper, we give an improved Morse index bound of minimal hypersurfaces from Almgren-Pitts min-max construction in any closed Riemannian manifold ), wh…
On the Existence of Minimal Hypersurfaces with Arbitrarily Large Area and Morse Index
Yangyang Li
We show that a bumpy closed Riemannian manifold admits a sequence of connected closed embedded two-sided minimal hypersurfaces whose areas and…
Existence of Infinitely Many Minimal Hypersurfaces in Higher-dimensional Closed Manifolds with Generic Metrics
Yangyang Li
In this paper, we show that a closed manifold endowed with a -generic (Baire sense) metric contains infinitely many singular minimal hypersurfaces wi…