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math.DG2026
Inhomogeneous Einstein metrics on complex projective spaces
Gonzalo Cao-Labora, Alberto Rodríguez-Vázquez
The only Einstein metrics currently known on complex projective spaces are homogeneous: the Fubini-Study metric, arising via the Hopf fibration; and, in odd complex dimensions, Zil…
math.AP2026
Counterexamples to Schiffer's Conjecture
Gonzalo Cao-Labora, Jaume de Dios Pont
The Schiffer conjecture states that if a smooth domain admits a Neumann eigenfunction of the Laplacian which is constant at the boundary, then the domain is…
math.AP2026
Instability of two-dimensional Taylor-Green Vortices
Gonzalo Cao-Labora, Maria Colombo, Michele Dolce +1
For a wide class of linear Hamiltonian operators we develop a general criterion that characterizes the unstable eigenvalues as the zeros of a holomorphic function given by the dete…