Antoine Song

activity

20142026

most citedExistence of infinitely many minimal hypersurfaces in closed manifolds

46 citations · 110 across the 16 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

math.DG2017★ 11 cited

Equidistribution of minimal hypersurfaces for generic metrics

Fernando C. Marques, André Neves, Antoine Song

For almost all Riemannian metrics (in the $C^{\infty}$ Baire sense) on a closed manifold $M^{n + 1}$ , $3 \leq (n + 1) \leq 7$ , we prove that there is a sequence of closed, smooth, embedded…

math.DG2017★ 7 cited

Local min-max surfaces and strongly irreducible minimal Heegaard splittings

Antoine Song

Let $(M, g)$ be a closed oriented Riemannian $3$ -manifold and suppose that there is a strongly irreducible Heegaard splitting $H$ . We prove that $H$ is either isotopic to a minimal…