John Lott

1. Ricci curvature for metric-measure spaces via optimal transport
   2009/04/22 by John Lott, Cedric Villani, Cédric Villani · 187 citations
   Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Differential Geometry Research
2. Ricci curvature for metric-measure spaces via optimal transport
   2004/12/07 by John Lott, Cédric Villani, Lott, John +1 · 33 citations
   Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities
3. Some geometric calculations on Wasserstein space
   2006/12/19 by John Lott, Lott, John · 6 citations
   Mathematics · Medicine · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Neuroimaging Techniques and Applications
4. Some Geometric Properties of the Bakry-Emery-Ricci Tensor
   2002/11/04 by John Lott, Lott, John · 3 citations
   Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Geometric Analysis and Curvature Flows #Nuclear Structure and Function #math.DG
5. Remark about the spectrum of the p-form Laplacian under a collapse with curvature bounded below
   2002/02/19 by John Lott, Lott, John · 2 citations
   Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #math.DG
6. Dimensional reduction and the long-time behavior of Ricci flow
   2007/11/26 by John Lott, Lott, John · 3 citations
   Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Differential Geometry Research
7. Deficiencies of Lattice Subgroups of Lie Groups
   1997/10/09 by John Lott, Lott, John · 1 citation
   Mathematics · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #dg-ga #math.DG
8. On the spectrum of a finite-volume negatively-curved manifold
   1999/08/26 by John Lott, Lott, John · 1 citation
   Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Spectral Theory in Mathematical Physics #math.DG
9. Eigenvalue estimates and differential form Laplacians on Alexandrov\n spaces
   2017/05/23 by John Lott, Lott, John · 1 citation
   Computer Science · Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Topological and Geometric Data Analysis
10. On 3-manifolds with pointwise pinched nonnegative Ricci curvature
    2019/08/13 by John Lott, Lott, John · 1 citation
    Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Advanced Differential Geometry Research #Point processes and geometric inequalities
11. On scalar curvature lower bounds and scalar curvature measure
    2021/10/14 by John Lott, Lott, John · 2 citations
    Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds