Lagrangian mean curvature flow of pinched submanifolds of CP^n

Giuseppe Pipoli; Carlo Sinestrari

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arXiv · 1310.2837

Lagrangian mean curvature flow of pinched submanifolds of CP^n

Giuseppe Pipoli·Carlo Sinestrari

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Abstract

We consider the evolution by mean curvature flow of Lagrangian submanifolds of the complex projective space CP^n. We prove that, if the initial value satisfies a suitable pinching condition, then the flow exists for all times and the manifold converges to a totally geodesic submanifold. As a corollary, we obtain that a Lagrangian submanifold satisfying our pinching condition is diffeomorphic to a real projective space.

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BibTeX RIS

Giuseppe Pipoli, Carlo Sinestrari. 2013-12-06. Lagrangian mean curvature flow of pinched submanifolds of CP^n. https://arxiv.org/abs/1310.2837

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