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.
Geography of 4-manifolds with positive scalar curvature / Mantione, Agnese; Torres Ruiz, Rafael. - In: EXPOSITIONES MATHEMATICAE. - ISSN 0723-0869. - 39:4(2021), pp. 566-582. [10.1016/j.exmath.2021.05.003]
Geography of 4-manifolds with positive scalar curvature.
Torres Ruiz, Rafael
2021-01-01
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.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
GeographymitMantione.pdf
non disponibili
Descrizione: preprint
Tipologia:
Documento in Pre-print
Licenza:
Non specificato
Dimensione
257.47 kB
Formato
Adobe PDF
|
257.47 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
