Mathematics – Differential Geometry
Scientific paper
2009-05-12
Proceeding of institute of mathematics of Ukrainian Academy of Sciences, vol 56, no 2, pp. 484--488. (2009)
Mathematics
Differential Geometry
Scientific paper
We obtained that any 2-form and any smooth function on 2-manifolds with
boundary can be realized as the curvature form and the gaussian curvature
function of some Riemmanian metric, respectively.
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