In this note we survey a selection of classical results and recent advances concerning our understanding of spaces of positive scalar metrics on closed manifolds, and describe how the basic questions can be transplanted to compact manifolds with boundary, a setting that naturally connects to the study of data sets in general relativity. Special emphasis is devoted to highlighting links with nearby fields and discussing some promising future directions.
A survey on positive scalar curvature metrics / Carlotto, A.. - In: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA. - ISSN 1972-6724. - 14:1(2021), pp. 17-42. [10.1007/s40574-020-00228-7]
A survey on positive scalar curvature metrics
Carlotto A.
2021-01-01
Abstract
In this note we survey a selection of classical results and recent advances concerning our understanding of spaces of positive scalar metrics on closed manifolds, and describe how the basic questions can be transplanted to compact manifolds with boundary, a setting that naturally connects to the study of data sets in general relativity. Special emphasis is devoted to highlighting links with nearby fields and discussing some promising future directions.File in questo prodotto:
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