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Collapsing of Mean Curvature Flow of Hypersurfaces to Complex Submanifolds
Farnaz Ghanbari, Samreena
2025
Abstract
In this paper, we produce explicit examples of mean curvature flow of (2m − 1)-dimensional submanifolds which converge to (2m − 2)-dimensional submanifolds at a finite time. These examples are a special class of hyperspheres in Cm with a U(m)-invariant Kähler metrics. We first discuss the mean curvature flow problem and then investigate the type of singularities for them.
Publisher
EUT Edizioni Università di Trieste
Source
Maria Lucia Fania and Flaminio Flamini, "Collapsing of Mean Curvature Flow of Hypersurfaces to Complex Submanifolds" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.57 (2025)", EUT Edizioni Università di Trieste, Trieste, 2025, pp.
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International