Prologue Recent Progress on the Formation of Trapped Surfaces and Black Holes Notes on Weighted K.hler-Ricci Solitons A Monge-Amp?re Type Functional and Related Prescribing Curvature Problems The Obata Type Integral Identity and Its Application A Brief Survey on a Recent Generalization of Cohn-Vossen Inequality on Certain K.hler Manifolds A Brief Summary of the Recent Global Regularity for Monge-Amp?re Equations Isoparametric Submanifolds and Mean Curvature Flow Isolated Singularities of the Yamabe Equation with Non-flat Metrics The Optimal Exponent of Certain Moser-Trudinger Type Inequalities on Projective Manifolds Lower Bound of Modified K-energy on a Fano Manifold with Degeneration for K.hler-Ricci Solitons Some Regularity Estimates of the Complex Monge-Amp?re Equation Topology of Surfaces with Finite Willmore Energy Finite Generation and the K.hler-Ricci Soliton Degeneration
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