Construct · 1 fields · 1 citations

Yamabe problem: a standalone construct

One name. One construct. A landmark on the map.

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Yamabeproblem1 CONSTRUCTYamabe problemSCHOEN · DIFFERENTIAL GEOMETRY

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Differential geometry

whether every compact Riemannian metric is conformal to one of constant scalar curvature, settled affirmatively.

In differential geometry, Yamabe problem refers to whether every compact Riemannian metric is conformal to one of constant scalar curvature, settled affirmatively. This meaning comes from Schoen (1984) in Journal of Differential Geometry.[1]

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Nearby constructs

conformal3 fields · 3 citationsinvariant · one construct, three systemsconstant2 fields · 2 citationsjingle · one word, two constructscurvature3 fields · 4 citationsjingle · one word, three constructs

References

  1. Schoen, R. (1984). Conformal deformation of a Riemannian metric to constant scalar curvature. Journal of Differential Geometry, 20(2), 479-495. https://doi.org/10.4310/jdg/1214439291

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