22 citations · 32 across the 2 of their papers we have counts for
Showing math.DGShow all
3 papers · 1 filter
math.DG2009★ 2 cited
Geometric Structures of Collapsing Riemannian Manifolds II: N*-bundles and Almost Ricci Flat Spaces
Aaron Naber, Gang Tian
In this paper we study collapsing sequences M_{i}-> X of Riemannian manifolds with curvature bounded or bounded away from a controlled subset. We introduce a structure over X which…
math.DG2008★ 10 cited
Geometric Structures of Collapsing Riemannian Manifolds I
Aaron Naber, Gang Tian
Let (M^n_i,g_i,p_i) be a sequence of smooth pointed complete n-dimensional Riemannian Manifolds with uniform bounds on the sectional curvatures and let (X,d,p) be a metric space su…
math.DG2006★ 22 cited
Some Geometry and Analysis on Ricci Solitons
Aaron Naber
The Bakry-Emery Ricci tensor of a metric-measure space (M,g,e^{-f}dv_{g}) plays an important role in both geometric measure theory and the study of Hamilton's Ricci flow. Under a u…