B. Firester

activity

20202026

most citedImpact Hamiltonian systems and polygonal billiards

2 citations · 2 across the 12 of their papers we have counts for

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Showing 2026 · math.DGShow all

6 papers · 2 filters

math.DG2026

The anisotropic Michael-Simon inequality

Benjy Firester, Raphael Tsiamis

We prove a Michael-Simon inequality for varifolds of every dimension and codimension with respect to anisotropic energies. In particular, this resolves the problem for every convex…

math.DG2026

The anisotropic Michael-Simon inequality for surfaces in every codimension

Benjy Firester, Raphael Tsiamis

We prove a Michael-Simon inequality for $2$ -varifolds in $R^{N}$ , in arbitrary codimension, for anisotropies sufficiently close to the area functional. Building on the ideas…

math.DG2026

On Chern's conjecture for minimal submanifolds of the sphere

Benjy Firester, Raphael Tsiamis

A well-known conjecture of Chern, do Carmo, and Kobayashi asserts that, for $n, m \geq 1$ , the scalar curvature of a closed, minimally immersed $n$ -submanifold of $S^{n + m}$ …

math.DG2026

Topology of minimal surfaces in the sphere from capillarity

Benjy Firester, Raphael Tsiamis

We present a general construction of embedded minimal and constant mean curvature surfaces in $S^{n}$ and one-phase free boundaries joined by a smooth interpolation by capil…

math.DG2026

New minimal surfaces in the sphere from capillary minimal cones

Benjy Firester, Raphael Tsiamis

For every $p, q \geq 1$ , we construct minimal embeddings of $S^{p} \times S^{q} \times S^{1}$ in $S^{p + q + 2}$ by doubling the links of free-boundary…

math.DG2026

Area-minimizing capillary cones

Benjy Firester, Raphael Tsiamis, Yipeng Wang

We construct non-flat minimal capillary cones with bi-orthogonal symmetry groups for any dimension and contact angle. These cones interpolate between rescalings of a singular solut…