Sharp systolic inequalities for Kähler manifolds with positive scalar curvature attain equality on CP^n with Fubini-Study metric and imply Gromov's rational-essentialness conjecture.
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Closed manifolds with positive scalar curvature and an Ingham-decay fundamental group have vanishing simplicial volume.
Open manifolds with proper Morse functions lacking high-index critical points or with mean convex exhaustions admit uniformly positive scalar curvature metrics.
citing papers explorer
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Sharp systolic inequalities for K\"ahler manifolds
Sharp systolic inequalities for Kähler manifolds with positive scalar curvature attain equality on CP^n with Fubini-Study metric and imply Gromov's rational-essentialness conjecture.
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Gromov's Simplicial Volume Vanishing Conjecture for Positive Scalar Curvature and Fundamental Group Decay
Closed manifolds with positive scalar curvature and an Ingham-decay fundamental group have vanishing simplicial volume.
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Some constructions of uniformly positive scalar curvature metrics on open manifolds
Open manifolds with proper Morse functions lacking high-index critical points or with mean convex exhaustions admit uniformly positive scalar curvature metrics.