Akashdeep Dey

activity

20192026

most citedA comparison of the Almgren-Pitts and the Allen-Cahn min-max theory

19 citations · 34 across the 6 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math.DG2019★ 7 cited

Existence of multiple closed CMC hypersurfaces with small mean curvature

Akashdeep Dey

Let $(M^{n + 1}, g)$ be a closed Riemannian manifold, $n + 1 \geq 3$ . We will prove that for all $m \in N$ , there exists $c^{*} (m) > 0$ , which depends on $g$ , such that if $0<c<c^…

math.DG2019★ 7 cited

Compactness of certain class of singular minimal hypersurfaces

Akashdeep Dey

Given a closed Riemannian manifold $(N^{n + 1}, g)$ , $n + 1 \geq 3$ we prove the compactness of the space of singular, minimal hypersurfaces in $N$ whose volumes are uniformly bounded f…