11 citations · 47 across the 15 of their papers we have counts for
4 papers · 1 filter
On the min-max width of unit volume three-spheres
Lucas Ambrozio, Rafael Montezuma
How large can be the width of Riemannian three-spheres of the same volume in the same conformal class? If a maximum value is attained, how does a maximising metric look like? What…
On the two-systole of real projective spaces
Lucas Ambrozio, Rafael Montezuma
We establish an integral-geometric formula for minimal two-spheres inside homogeneous three-spheres, and use it to provide a characterisation of each homogeneous metric on the thre…
Bubbling analysis and geometric convergence results for free boundary minimal surfaces
Lucas Ambrozio, Reto Buzano, Alessandro Carlotto +1
We investigate the limit behaviour of sequences of free boundary minimal hypersurfaces with bounded index and volume, by presenting a detailed blow-up analysis near the points wher…
Geometric convergence results for closed minimal surfaces via bubbling analysis
Lucas Ambrozio, Reto Buzano, Alessandro Carlotto +1
We present some geometric applications, of global character, of the bubbling analysis developed by Buzano and Sharp for closed minimal surfaces, obtaining smooth multiplicity one c…