arXiv · 0905.1864
Curvature forms and Curvature functions for 2-manifolds with boundary
Abstract
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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Kaveh Eftekharinasab. 2009-05-12. Curvature forms and Curvature functions for 2-manifolds with boundary. https://arxiv.org/abs/0905.1864
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