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: | https://nasplib.isofts.kiev.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| _version_ | 1862569246549082112 |
|---|---|
| author | Eftekharinasab, K. |
| author_facet | Eftekharinasab, K. |
| citation_txt | 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. |
| collection | DSpace DC |
| description | 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.
|
| first_indexed | 2025-11-26T01:49:06Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-6327 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-2910 |
| language | English |
| last_indexed | 2025-11-26T01:49:06Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Eftekharinasab, K. 2010-02-23T14:49:07Z 2010-02-23T14:49:07Z 2009 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. 1815-2910 https://nasplib.isofts.kiev.ua/handle/123456789/6327 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. en Інститут математики НАН України Геометрія, топологія та їх застосування Curvature forms and Curvature functions for 2-manifolds with boundary Article published earlier |
| spellingShingle | Curvature forms and Curvature functions for 2-manifolds with boundary Eftekharinasab, K. Геометрія, топологія та їх застосування |
| title | Curvature forms and Curvature functions for 2-manifolds with boundary |
| title_full | Curvature forms and Curvature functions for 2-manifolds with boundary |
| title_fullStr | Curvature forms and Curvature functions for 2-manifolds with boundary |
| title_full_unstemmed | Curvature forms and Curvature functions for 2-manifolds with boundary |
| title_short | Curvature forms and Curvature functions for 2-manifolds with boundary |
| title_sort | curvature forms and curvature functions for 2-manifolds with boundary |
| topic | Геометрія, топологія та їх застосування |
| topic_facet | Геометрія, топологія та їх застосування |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/6327 |
| work_keys_str_mv | AT eftekharinasabk curvatureformsandcurvaturefunctionsfor2manifoldswithboundary |