111 citations · 788 across the 92 of their papers we have counts for
108 papers
Stable Constant Mean Curvature Hypersurfaces in
Filippo Gaia, Rafe Mazzeo, Ivan Miranda
For every and every in a neighborhood of (depending on ), we prove the existence of a properly embedded strongly stable CMC hypersurface in wit…
Minimal Surfaces with Stratified Branching Sets
Federico Franceschini, Rafe Mazzeo, Paul Minter
Inspired by the Taubes-Wu construction of two-valued harmonic functions by the use of symmetry, we construct minimal surfaces with stratified branching sets as…
ALG gravitational instantons and Hitchin moduli spaces, I: Torelli parameters
Laura Fredrickson, Rafe Mazzeo, Jan Swoboda +1
This is the first of two papers which together prove that the -parameter family of parabolic -Hitchin moduli spaces on the four-punctured sphere are all ALG gravitationa…
Tian--Yau metrics: Fredholm theory, Hodge cohomology and moduli spaces
Rafe Mazzeo, Xuwen Zhu
We study the natural geometric elliptic operators on a class of complete Riemannian manifolds which include the 4-dimensional ALH* gravitational instantons and their higher dimensi…
Linear and nonlinear stability for the Bach flow, I
Eric Bahuaud, Christine Guenther, James Isenberg +1
In this paper we prove the linear stability of a gauge-modified version of the Bach flow on any complete manifold (M, h) of constant curvature. This involves some intricate calcula…
Geometric inverse problems on gas giants
Maarten V. de Hoop, Joonas Ilmavirta, Antti Kykkänen +1
On gas giant planets the speed of sound is isotropic and goes to zero at the surface. Geometrically, this corresponds to a Riemannian manifold whose metric tensor has a conformal b…