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These lecture notes by Chao Li for the Southern California Geometric Analysis Seminar in February 2025 focus on Riemannian manifolds with positive scalar curvature and its implications in geometric variational problems. The document covers various topics including the Einstein equations, variations of total scalar curvature, and conformal deformations, providing foundational concepts and results in the field. It also discusses applications and open questions related to scalar curvature in Riemannian geometr

Author
Chor Yin Ho
Language
EN

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