2006 - Fellow of Alfred P. Sloan Foundation
Simon Brendle mainly focuses on Pure mathematics, Mathematical analysis, Scalar curvature, Sectional curvature and Ricci curvature. His research on Pure mathematics focuses in particular on Conjecture. His work investigates the relationship between Mathematical analysis and topics such as Yamabe flow that intersect with problems in Prescribed scalar curvature problem and Dimension.
He interconnects Riemannian manifold, General relativity and Conformal map in the investigation of issues within Scalar curvature. His Sectional curvature research incorporates elements of Manifold and Ricci-flat manifold. In his study, which falls under the umbrella issue of Ricci curvature, Riemannian geometry is strongly linked to Curvature of Riemannian manifolds.
The scientist’s investigation covers issues in Mathematical analysis, Pure mathematics, Ricci flow, Curvature and Scalar curvature. His work carried out in the field of Mathematical analysis brings together such families of science as Flow, Yamabe flow, Sectional curvature, Constant and Mean curvature flow. The Conjecture, Dimension and Euclidean space research Simon Brendle does as part of his general Pure mathematics study is frequently linked to other disciplines of science, such as Sobolev inequality, therefore creating a link between diverse domains of science.
When carried out as part of a general Ricci flow research project, his work on Sphere theorem is frequently linked to work in Soliton, therefore connecting diverse disciplines of study. His research on Curvature also deals with topics like
His primary scientific interests are in Pure mathematics, Ricci flow, Dimension, Sobolev inequality and Inequality. His research in Pure mathematics intersects with topics in Curvature and Sectional curvature. The Curvature study which covers Manifold that intersects with Ricci curvature, Diffeomorphism and Riemann curvature tensor.
His research investigates the connection with Sectional curvature and areas like Convex function which intersect with concerns in Mean curvature flow. His Ricci flow study combines topics from a wide range of disciplines, such as Hypersurface and Uniqueness. His study on Inequality also encompasses disciplines like
His primary areas of study are Ricci flow, Pure mathematics, Dimension, Mean curvature flow and Regular polygon. His Ricci flow research entails a greater understanding of Curvature. He combines subjects such as Hypersurface, Manifold, Connected sum and Diffeomorphism with his study of Curvature.
His studies in Dimension integrate themes in fields like Differential and Space. The Mean curvature flow study combines topics in areas such as Gravitational singularity, Mathematical analysis, Uniqueness, Sectional curvature and Convex function. Soliton is connected with Work, Quotient and Singularity in his study.
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Manifolds with 1/4-pinched curvature are space forms
Simon Brendle;Richard M. Schoen.
Journal of the American Mathematical Society (2008)
Manifolds with 1/4-pinched curvature are space forms
Simon Brendle;Richard M. Schoen.
Journal of the American Mathematical Society (2008)
Blow-up phenomena for the Yamabe equation
Simon Brendle.
Journal of the American Mathematical Society (2007)
Blow-up phenomena for the Yamabe equation
Simon Brendle.
Journal of the American Mathematical Society (2007)
Constant mean curvature surfaces in warped product manifolds
Simon Brendle.
Publications Mathématiques de l'IHÉS (2013)
Constant mean curvature surfaces in warped product manifolds
Simon Brendle.
Publications Mathématiques de l'IHÉS (2013)
Blow-up phenomena for the Yamabe equation II
Simon Brendle;Fernando C. Marques.
Journal of Differential Geometry (2009)
Blow-up phenomena for the Yamabe equation II
Simon Brendle;Fernando C. Marques.
Journal of Differential Geometry (2009)
Convergence of the Yamabe flow for arbitrary initial energy
Simon Brendle.
Journal of Differential Geometry (2005)
Convergence of the Yamabe flow for arbitrary initial energy
Simon Brendle.
Journal of Differential Geometry (2005)
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