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Abstract We discuss the geography problem of closed oriented 4-manifolds that admit a Riemannian metric of positive scalar curvature, and use it to survey mathematical work employed to address Gromov’s… Click to show full abstract
Abstract We discuss the geography problem of closed oriented 4-manifolds that admit a Riemannian metric of positive scalar curvature, and use it to survey mathematical work employed to address Gromov’s observation that manifolds with positive scalar curvature tend to be inessential by focusing on the four-dimensional case. We also point out an strengthening of a result of Carr and its extension to the non-orientable realm.
Keywords:
positive scalar;
manifolds positive;
geography manifolds;
scalar curvature;
geography
Journal Title: Expositiones Mathematicae
Year Published: 2021
Link to full text (if available)
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Journal Title: Expositiones Mathematicae
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!