Fernanda Roing

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math.DG2026

On mean curvature flow solitons in the sphere

Marco Magliaro, Luciano Mari, Fernanda Roing +1

In this paper, we consider soliton solutions of the mean curvature flow in the unit sphere $S^{2 n + 1}$ moving along the integral curves of the Hopf unit vector field. While such sol…

math.DG2024

Sharp pinching theorems for complete submanifolds in the sphere

Marco Magliaro, Luciano Mari, Fernanda Roing +1

We prove that every complete, minimally immersed submanifold $f M^{n} \to S^{n + p}$ whose second fundamental form satisfies $∣ A ∣^{2} \leq n p / (2 p - 1)$ , is either totally geodesi…