Scalar curvature and harmonic maps to \(S^1\)

DOI10.4310/jdg/1669998185OpenAlexW2969903675MaRDI QIDQ2103550

Daniel Stern

Publication date: 14 December 2022

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.09754

zbMATH Keywords

scalar curvatureharmonic maps\(3\)-manifold

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items (6)

A new proof of the Riemannian Penrose inequality ⋮ Generalized soap bubbles and the topology of manifolds with positive scalar curvature ⋮ The dihedral rigidity conjecture for \(n\)-prisms ⋮ A Green's function proof of the positive mass theorem ⋮ Analysis, geometry and topology of positive scalar curvature metrics. Abstracts from the workshop held June 27 -- July 3, 2021 (hybrid meeting) ⋮ Scalar curvature and the relative capacity of geodesic balls

Cites Work

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• On the structure of manifolds with positive scalar curvature
• Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
• Spin and scalar curvature in the presence of a fundamental group. I
• On the proof of the positive mass conjecture in general relativity
• Scalar curvature and the Thurston norm
• Monopole Floer homology and the spectral geometry of three-manifolds
• The dual Thurston norm and the geometry of closed 3-manifolds
• Harmonic maps 𝐌³→𝐒¹ and 2-cycles, realizing the Thurston norm

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