Proves normalized growth estimates and a sharp 8π(1-AVR) scalar-curvature flux bound for noncompact manifolds with nonnegative Ricci curvature, confirming and refining a 3D conjecture.
Geometry of three-dimensional manifolds with positive scalar curvature
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Derives new scalar curvature decay estimates for steady gradient Ricci solitons and diameter upper bounds using μ-bubbles from Gromov.
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Cohn--Vossen-Type Inequalities for Three-Manifolds and Locally Conformally Flat Manifolds
Proves normalized growth estimates and a sharp 8π(1-AVR) scalar-curvature flux bound for noncompact manifolds with nonnegative Ricci curvature, confirming and refining a 3D conjecture.
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Notes on scalar curvature lower bounds of steady gradient Ricci solitons
Derives new scalar curvature decay estimates for steady gradient Ricci solitons and diameter upper bounds using μ-bubbles from Gromov.