1 citations · 1 across the 2 of their papers we have counts for
10 papers
Stable -minimal cones in are flat for close to zero
Raphael Tsiamis
We prove that stable nonlocal minimal cones in three dimensions are flat, for sufficiently close to zero. Our approach develops new structural properties of stable -minimal…
Eigenvalue estimates on shrinkers
S. Brendle, R. Tsiamis
We prove an eigenvalue estimate which holds on every properly embedded shrinker for mean curvature flow. This generalizes earlier work of Ding and Xin to the noncompact case.
Sharp systolic inequalities for Kähler manifolds
Raphael Tsiamis
We establish sharp inequalities for two-dimensional systolic invariants of metrics with positive scalar curvature: the -systole and the spherical -systole of compact Kähler…
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 and one-phase free boundaries joined by a smooth interpolation by capil…
New minimal surfaces in the sphere from capillary minimal cones
Benjy Firester, Raphael Tsiamis
For every , we construct minimal embeddings of in by doubling the links of free-boundary…
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…