His main research concerns Mathematical analysis, Pure mathematics, Manifold, Ricci curvature and Analytic torsion. His study in Mathematical analysis focuses on Vector bundle in particular. His Pure mathematics study integrates concerns from other disciplines, such as Poincaré inequality and Algebra.
The Manifold study combines topics in areas such as Discrete mathematics, Betti number and Ricci flow. His Ricci curvature study combines topics in areas such as Riemann curvature tensor and Sectional curvature. His work carried out in the field of Riemann curvature tensor brings together such families of science as Tensor contraction and Mathematical physics.
The scientist’s investigation covers issues in Pure mathematics, Mathematical analysis, Curvature, Riemannian manifold and Ricci flow. His Pure mathematics study incorporates themes from Space and Algebra. His studies in Mathematical analysis integrate themes in fields like Riemann curvature tensor, Ricci curvature and Scalar curvature, Sectional curvature.
His Curvature research incorporates elements of Upper and lower bounds, Gravitational singularity and Type. His Riemannian manifold research includes elements of Infinity, Tangent and Mathematical physics. As part of the same scientific family, John Lott usually focuses on Ricci flow, concentrating on Flow and intersecting with Divisor.
John Lott spends much of his time researching Pure mathematics, Curvature, Mathematical analysis, Spacetime and Riemannian manifold. His work in the fields of Pure mathematics, such as Differential form, intersects with other areas such as Complex space. The various areas that John Lott examines in his Curvature study include Gravitational singularity and Limit.
His Mathematical analysis research is multidisciplinary, incorporating perspectives in Ricci curvature, Ricci flow and Scalar curvature. The Ricci decomposition and Curvature of Riemannian manifolds research John Lott does as part of his general Scalar curvature study is frequently linked to other disciplines of science, such as Index and Boundary, therefore creating a link between diverse domains of science. His research in Riemannian manifold intersects with topics in Space, Infinity, Conical surface and Ricci soliton.
His scientific interests lie mostly in Pure mathematics, Ricci flow, Spacetime, Curvature and Mathematical analysis. John Lott has researched Pure mathematics in several fields, including Bundle, Infinity and Complement. John Lott combines subjects such as Conical surface and Divisor with his study of Ricci flow.
His Geometric flow study in the realm of Curvature connects with subjects such as Volume. His Mathematical analysis research is multidisciplinary, incorporating elements of Curvature of Riemannian manifolds and Ricci decomposition, Ricci curvature. His work in Ricci curvature tackles topics such as Measure which are related to areas like Scalar curvature.
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Ricci curvature for metric-measure spaces via optimal transport
John Lott;Cedric Villani.
Annals of Mathematics (2009)
Particle models and noncommutative geometry
Alain Connes;John Lott.
Nuclear Physics B - Proceedings Supplements (1991)
Notes on Perelman's papers
Bruce Kleiner;John Lott.
Geometry & Topology (2008)
Some geometric properties of the Bakry-Émery-Ricci tensor
Commentarii Mathematici Helvetici (2003)
Flat vector bundles, direct images and higher real analytic torsion
Jean-Michel Bismut;John Lott.
Journal of the American Mathematical Society (1995)
HEAT KERNELS ON COVERING SPACES AND TOPOLOGICAL INVARIANTS
Journal of Differential Geometry (1992)
Weak curvature conditions and functional inequalities
John Lott;Cédric Villani.
Journal of Functional Analysis (2007)
Some Geometric Calculations on Wasserstein Space
Communications in Mathematical Physics (2007)
L2-Topological invariants of 3-manifolds
John Lott;Wolfgang Lück.
Inventiones Mathematicae (1995)
On the long-time behavior of type-III Ricci flow solutions
Mathematische Annalen (2007)
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