6 papers · 1 filter
Non-persistence of strongly isolated singularities, and geometric applications
Alessandro Carlotto, Yangyang Li, Zhihan Wang
We obtain a generic regularity result for stationary integral -varifolds with only strongly isolated singularities inside -dimensional Riemannian manifolds, in absence of any…
Disc stackings and their Morse index
Alessandro Carlotto, Mario B. Schulz, David Wiygul
We construct free boundary minimal disc stackings, with any number of strata, in the three-dimensional Euclidean unit ball, and prove uniform, linear lower and upper bounds on the…
Index growth not imputable to topology
Alessandro Carlotto, Mario B. Schulz, David Wiygul
We employ partitioning methods, in the spirit of Montiel--Ros but here recast for general actions of compact Lie groups, to prove effective lower bounds on the Morse index of certa…
Spectral estimates for free boundary minimal surfaces via Montiel-Ros partitioning methods
Alessandro Carlotto, Mario B. Schulz, David Wiygul
We adapt and extend the Montiel-Ros methodology to compact manifolds with boundary, allowing for mixed (including oblique) boundary conditions and also accounting for the action of…
Attaching faces of positive scalar curvature manifolds with corners
Alessandro Carlotto, Chao Li
We prove a novel desingularization theorem, that allows to smoothly attach two given manifolds with corners by suitably gluing a pair of isometric faces, with control on both the s…
A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary
Alessandro Carlotto, Chao Li
We study notions of isotopy and concordance for Riemannian metrics on manifolds with boundary and, in particular, we introduce two variants of the concept of minimal concordance, t…