A sharp stability estimate is proved for Alexandrov's theorem on C1 domains in the small-excess regime, with Exc(E) + |E Δ B|^2 + |μ - (n-1)|^2 bounded by C(n) times the L2 deviation of mean curvature from any constant μ.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Sharp stability of Alexandrov's theorem for $C^1$ domains in the small-excess regime
A sharp stability estimate is proved for Alexandrov's theorem on C1 domains in the small-excess regime, with Exc(E) + |E Δ B|^2 + |μ - (n-1)|^2 bounded by C(n) times the L2 deviation of mean curvature from any constant μ.