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math.DG2021
The geodesic total curvature of spherical curves
Domenico Mucci, Alberto Saracco
The geodesic total curvature of rectifiable spherical curves is analyzed. We extend to the case of high dimension spheres the explicit formula that holds true for curves supported…
math.AP2021★ 3 cited
Crack occurrence in bodies with gradient polyconvex energies
Martin Kružík, Paolo Maria Mariano, Domenico Mucci
Energy minimality selects among possible configurations of a continuous body with and without cracks those compatible with assigned boundary conditions of Dirichlet-type. Crack pat…