Four Lectures on Scalar Curvature

DOI10.1142/9789811273223_0001arXiv1908.10612OpenAlexW2971130379MaRDI QIDQ6137118

Mikhael Gromov

Publication date: 1 September 2023

Published in: Perspectives in Scalar Curvature (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.10612

zbMATH Keywords

Dirac operatorscalar curvaturerigidityminimal hypersurfacemean curvature

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Index theory and related fixed-point theorems on manifolds (58J20) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants) (14J80) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Invariants of 4-manifolds (including Donaldson and Seiberg-Witten invariants) (57K41)

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