13 citations · 25 across the 5 of their papers we have counts for
10 papers
Deformations of free boundary CMC hypersurfaces
Renato G. Bettiol, Paolo Piccione, Bianca Santoro
We study deformations of free boundary constant mean curvature (CMC) hypersurfaces whose Jacobi operator is degenerate due to symmetries of the ambient space. The value of the mean…
Bifurcation of periodic solutions to the singular Yamabe problem on spheres
Renato G. Bettiol, Paolo Piccione, Bianca Santoro
We obtain uncountably many periodic solutions to the singular Yamabe problem on a round sphere, that blow up along a great circle. These are (complete) constant scalar curvature me…
Equivariant deformations of Hamiltonian stationary Lagrangian submanifolds
Renato G. Bettiol, Paolo Piccione, Bianca Santoro
We prove an equivariant deformation result for Hamiltonian stationary Lagrangian submanifolds of a Kahler manifold, with respect to deformations of its metric and almost complex st…
Holonomy Groups in Riemannian Geometry
Andrew Clarke, Bianca Santoro
Lecture notes for the minicourse "Holonomy Groups in Riemannian geometry", a part of the XVII Brazilian School of Geometry, to be held at UFAM (Amazonas, Brazil), in July of 2012.
Introduction to evolution equations in geometry
Bianca Santoro
These are the very unpretentious lecture notes for the minicourse "Introduction to evolution equations in Geometry," a part of the Brazilian Colloquium of Mathematics held at IMPA,…
On complete Ricci-flat metrics on open Kahler manifolds
Bianca Santoro
This paper has two purposes. First it partially extends the result in the author's previous work concerning the asymptotic expansion of the Tian-Yau metrics, by considering a sligh…