A CLT for Fréchet means on closed Riemannian manifolds follows from Bhattacharya-Lin's omnibus theorem once the cut locus is topologically stable and avoids the measure, and the stability condition is essential.
Some consequences of the nat ure of the distance function on the cut locus in a Riemannian manifold
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.DG 1years
2019 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Stability of the Cut Locus and a Central Limit Theorem for Fr\'echet Means of Riemannian Manifolds
A CLT for Fréchet means on closed Riemannian manifolds follows from Bhattacharya-Lin's omnibus theorem once the cut locus is topologically stable and avoids the measure, and the stability condition is essential.