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math.DG2021
Planar pseudo-geodesics and totally umbilic submanifolds
Steen Markvorsen, Matteo Raffaelli
We study totally umbilic isometric immersions between Riemannian manifolds. First, we provide a novel characterization of the totally umbilic isometric immersions with parallel nor…
math.DG2021★ 2 cited
Nonrigidity of flat ribbons
Matteo Raffaelli
We study ribbons of vanishing Gaussian curvature, i.e., flat ribbons, constructed along a curve in . In particular, we first investigate to which extent the ruled s…