Naber, Aaron
- Quantitative Stratification and the Regularity of Harmonic Maps and Minimal Currents
2011/07/15 by Cheeger, Jeff, Naber, Aaron · 8 citations
#53-XX #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
- Regularity of Einstein Manifolds and the Codimension 4 Conjecture
2014/06/25 by Jeff Cheeger, Cheeger, Jeff, Aaron Naber +1 · 9 citations
Mathematics · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations
- Sharp H "older continuity of tangent cones for spaces with a lower Ricci\n curvature bound and applications
2011/02/24 by Tobias Colding, Colding, Tobias, Aaron Naber +1 · 6 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometry and complex manifolds
- Lower Bounds on Ricci Curvature and Quantitative Behavior of Singular Sets
2011/03/09 by Cheeger, Jeff, Naber, Aaron · 6 citations
#Differential Geometry (math.DG) #FOS: Mathematics
- L2 Curvature Bounds on Manifolds with Bounded Ricci Curvature
2016/05/18 by Wenshuai Jiang, Aaron Naber, Jiang, Wenshuai +1 · 8 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
- Critical sets of elliptic equations
2012/07/17 by Cheeger, Jeff, Naber, Aaron, Valtorta, Daniele · 4 citations
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
- Noncompact Shrinking 4-Solitons with Nonnegative Curvature
2007/10/30 by Aaron Naber, Naber, Aaron · 5 citations
Physics and Astronomy · Mathematics · Biochemistry, Genetics and Molecular Biology · #Advanced Differential Geometry Research #Geometric Analysis and Curvature Flows #Microbial metabolism and enzyme function
- Characterization of Tangent Cones of Noncollapsed Limits with Lower\n Ricci Bounds and Applications
2011/08/16 by Tobias Colding, Aaron Naber, Colding, Tobias Holck +1 · 3 citations
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities
- Quantitative Stratification and the Regularity of Mean Curvature Flow
2012/07/16 by Cheeger, Jeff, Haslhofer, Robert, Naber, Aaron · 3 citations
#Differential Geometry (math.DG) #FOS: Mathematics
- Some Geometry and Analysis on Ricci Solitons
2006/12/18 by Aaron Naber, Naber, Aaron · 3 citations
Mathematics · Physics and Astronomy · #53C21 #53C44 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
- Lecture Notes on Rectifiable Reifenberg for Measures
2018/12/18 by Naber, Aaron · 2 citations
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
- Effective Reifenberg theorems in Hilbert and Banach spaces
2018/06/04 by Nicholas Edelen, Edelen, Nicholas, Aaron Naber +3 · 2 citations
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Differential Equations Analysis
- Geometric Structures of Collapsing Riemannian Manifolds I
2008/04/14 by Naber, Aaron, Tian, Gang · 1 citation
#53B20 #Differential Geometry (math.DG) #FOS: Mathematics
- Quantitative Stratification and the Regularity of Harmonic Map Flow
2013/08/12 by Cheeger, Jeff, Haslhofer, Robert, Naber, Aaron · 1 citation
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
- Quantitative regularity for p-harmonic maps
2014/09/30 by Naber, Aaron, Valtorta, Daniele, Veronelli, Giona · 1 citation
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
- Rectifiability of Singular Sets in Noncollapsed Spaces with Ricci Curvature bounded below
2018/05/21 by Jeff Cheeger, Cheeger, Jeff, Wenshuai Jiang +3 · 1 citation
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations
- Energy Identity for Stationary Harmonic Maps
2024/01/04 by Aaron Naber, Naber, Aaron, Daniele Valtorta +1 · 2 citations
Computer Science · Mathematics · #35J60 #53C43 #58E20 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations
- Quantitative Estimates on the Singular Sets of Alexandrov Spaces
2019/12/08 by Li, Nan, Naber, Aaron · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG)
- Boundary regularity and stability for spaces with Ricci bounded below
2020/11/17 by Elia Brué, Aaron Naber, Bruè, Elia +3 · 1 citation
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations
- Codimension four regularity of generalized Einstein structures
2021/07/16 by Fu, Xin, Naber, Aaron, Streets, Jeffrey · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
- Quantitative Reifenberg theorem for measures
2016/12/23 by Edelen, Nick, Naber, Aaron, Valtorta, Daniele · 1 citation
#Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Differential Geometry (math.DG) #FOS: Mathematics
- Six dimensional counterexample to the Milnor Conjecture
2023/11/20 by Bruè, Elia, Naber, Aaron, Semola, Daniele · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics
- Rectifiable Reifenberg and uniform positivity under almost calibrations
2024/05/06 by Edelen, Nicholas, Naber, Aaron, Valtorta, Daniele · 1 citation
#28A75 #28A78 #53C38 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
- Geometric Structures of Collapsing Riemannian Manifolds II: N*-bundles and Almost Ricci Flat Spaces
2009/06/25 by Aaron Naber, Gang Tian, Naber, Aaron +1 · 2 citations
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Advanced Differential Geometry Research #Geometry and complex manifolds