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math.DG2025
Prescribing the mean curvature of an achronal hypersurface as a measure: the case of 3D spacetimes
Lorenzo Maniscalco, Luciano Mari
We study the existence problem for achronal hypersurfaces in a globally hyperbolic spacetime, whose mean curvature is a prescribed -- possibly sing…
math.DG2025
On linking numbers and Biot-Savart kernels
Daniel Cibotaru, Luciano Mari
On a compact manifold, the solutions of the initial value problem for the heat equation with currential initial conditions are smooth families of forms for . If the initial co…
math.DG2025
Spectral rigidity of manifolds with Ricci bounded below and maximal bottom spectrum
Luciano Mari, Marcos Ranieri, Elaine Sampaio +1
We investigate the spectrum of the Laplacian on complete, non-compact manifolds whose Ricci curvature satisfies , for some continuous,…