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Conformal Metrics with Constant Q-Curvature
We consider the problem of varying conformally the metric of a four dimensional manifold in order to obtain constant Q-curvature. The problem is variational, and solutions are in general found as critical points of saddle type. We show how the problem leads naturally to consider the set of formal ba...
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Інститут математики НАН України
2007
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/147193 |
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irk-123456789-1471932019-02-14T01:24:24Z Conformal Metrics with Constant Q-Curvature Malchiodi, A. We consider the problem of varying conformally the metric of a four dimensional manifold in order to obtain constant Q-curvature. The problem is variational, and solutions are in general found as critical points of saddle type. We show how the problem leads naturally to consider the set of formal barycenters of the manifold. 2007 Article Conformal Metrics with Constant Q-Curvature / A. Malchiodi // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 46 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 35B33; 35J35; 53A30; 53C21 http://dspace.nbuv.gov.ua/handle/123456789/147193 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| description |
We consider the problem of varying conformally the metric of a four dimensional manifold in order to obtain constant Q-curvature. The problem is variational, and solutions are in general found as critical points of saddle type. We show how the problem leads naturally to consider the set of formal barycenters of the manifold. |
| format |
Article |
| author |
Malchiodi, A. |
| spellingShingle |
Malchiodi, A. Conformal Metrics with Constant Q-Curvature Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Malchiodi, A. |
| author_sort |
Malchiodi, A. |
| title |
Conformal Metrics with Constant Q-Curvature |
| title_short |
Conformal Metrics with Constant Q-Curvature |
| title_full |
Conformal Metrics with Constant Q-Curvature |
| title_fullStr |
Conformal Metrics with Constant Q-Curvature |
| title_full_unstemmed |
Conformal Metrics with Constant Q-Curvature |
| title_sort |
conformal metrics with constant q-curvature |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147193 |
| citation_txt |
Conformal Metrics with Constant Q-Curvature / A. Malchiodi // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 46 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT malchiodia conformalmetricswithconstantqcurvature |
| first_indexed |
2023-05-20T17:26:50Z |
| last_indexed |
2023-05-20T17:26:50Z |
| _version_ |
1796153313829322752 |