28 citations · 107 across the 16 of their papers we have counts for
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math.DG2015★ 18 cited
Qualitative and quantitative estimates for minimal hypersurfaces with bounded index and area
Reto Buzano, Ben Sharp
We prove qualitative estimates on the total curvature of closed minimal hypersurfaces in closed Riemannian manifolds in terms of their index and area, restricting to the case where…
math.DG2015★ 11 cited
Smooth long-time existence of Harmonic Ricci Flow on surfaces
Reto Buzano, Melanie Rupflin
We prove that at a finite singular time for the Harmonic Ricci Flow on a surface of positive genus both the energy density of the map component and the curvature of the domain mani…
math.DG2015★ 6 cited
The Chern-Gauss-Bonnet formula for singular non-compact four-dimensional manifolds
Reto Buzano, Huy The Nguyen
We generalise the classical Chern-Gauss-Bonnet formula to a class of 4-dimensional manifolds with finitely many conformally flat ends and singular points. This extends results of C…