Curvature forms and Curvature functions for 2-manifolds with boundary
We obrain that any 2-form and any smooth function on a given 2-manifold with boundary can be realized as the curvature form and the gaussian curvature function of some Riemmanian metric, respectively.
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| Date: | 2009 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2009
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| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/6327 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Curvature forms and Curvature functions for 2-manifolds with boundary / K. Eftekharinasab // Збірник праць Інституту математики НАН України. — 2009. — Т. 6, № 2. — С. 484-488. — Бібліогр.: 4 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We obrain that any 2-form and any smooth function on a given 2-manifold with boundary can be realized as the curvature form and the gaussian curvature function of some Riemmanian metric, respectively. |
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