Tobias Colding

1. Lower Bounds on Ricci Curvature and the Almost Rigidity of Warped Products
   1996/07/01 by Jeff Cheeger, Tobias H. Colding, Tobias Colding · 58 citations
   Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Differential Geometry Research
2. Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications
   2012/07/03 by Tobias Colding, Aaron Naber · 22 citations
   Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Differential Geometry Research
3. Generic mean curvature flow I; generic singularities
   2009/08/26 by Tobias Colding, William P. Minicozzi, Colding, Tobias H. +1 · 16 citations
   Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Differential Geometry Research
4. Uniqueness of blowups and Lojasiewicz inequalities
   2013/12/14 by Tobias Colding, Colding, Tobias Holck, William P. Minicozzi +1 · 3 citations
   Mathematics · #Analysis of PDEs (math.AP) #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
5. The Calabi-Yau conjectures for embedded surfaces
   2004/04/09 by Tobias Colding, Colding, Tobias H., William P. Minicozzi +1 · 2 citations
   Mathematics · #Algebraic Geometry and Number Theory #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
6. Characterization of Tangent Cones of Noncollapsed Limits with Lower\n Ricci Bounds and Applications
   2011/08/16 by Tobias Colding, Colding, Tobias Holck, Aaron Naber +1 · 2 citations
   Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities
7. The space of embedded minimal surfaces of fixed genus in a 3-manifold III; Planar domains
   2002/10/09 by Tobias H. Colding, Tobias Colding, William P. Minicozzi II +3 · 1 citation
   Mathematics · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Point processes and geometric inequalities #math.AP #math.DG
8. The space of embedded minimal surfaces of fixed genus in a 3-manifold V; Fixed genus
   2005/09/27 by Tobias Colding, William P. Minicozzi, Colding, Tobias H. +1 · 1 citation
   Mathematics · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals
9. Liouville properties
   2019/02/25 by Tobias Colding, William P. Minicozzi, Colding, Tobias Holck +1 · 1 citation
   Chemistry · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #Chemical Thermodynamics and Molecular Structure #Classical Analysis and ODEs (math.CA) #Differential Geometry (math.DG) #FOS: Mathematics #History and advancements in chemistry
10. Optimal growth bounds for eigenfunctions
    2021/09/10 by Tobias Colding, William P. Minicozzi, Colding, Tobias Holck +1 · 1 citation
    Mathematics · #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations
11. Gradient estimates for scalar curvature
    2025/01/29 by Tobias Colding, William P. Minicozzi, Colding, Tobias Holck +1 · 2 citations
    Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Advanced Operator Algebra Research #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows