On conserved quantities of certain cohomogeneity one Ricci-flat equations
We give a classification of continuously differentiable on-shell integrals which are linear or quadratic in momenta for a Hamiltonian system with constraint associated to the Ricci-flat cohomogeneity one Einstein equations for two special classes of principal orbits/hypersurfaces. Relations to known...
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| Format: | Journal article |
| Language: | English |
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2004
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| _version_ | 1797099070758584320 |
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| author | Dancer, A Wang, M |
| author_facet | Dancer, A Wang, M |
| author_sort | Dancer, A |
| collection | OXFORD |
| description | We give a classification of continuously differentiable on-shell integrals which are linear or quadratic in momenta for a Hamiltonian system with constraint associated to the Ricci-flat cohomogeneity one Einstein equations for two special classes of principal orbits/hypersurfaces. Relations to known on-shell integrals and to Painlevé analysis are discussed. |
| first_indexed | 2024-03-07T05:18:23Z |
| format | Journal article |
| id | oxford-uuid:de07992b-98c6-454c-ac2a-ffbcec2665b2 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T05:18:23Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | oxford-uuid:de07992b-98c6-454c-ac2a-ffbcec2665b22022-03-27T09:29:11ZOn conserved quantities of certain cohomogeneity one Ricci-flat equationsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:de07992b-98c6-454c-ac2a-ffbcec2665b2EnglishSymplectic Elements at Oxford2004Dancer, AWang, MWe give a classification of continuously differentiable on-shell integrals which are linear or quadratic in momenta for a Hamiltonian system with constraint associated to the Ricci-flat cohomogeneity one Einstein equations for two special classes of principal orbits/hypersurfaces. Relations to known on-shell integrals and to Painlevé analysis are discussed. |
| spellingShingle | Dancer, A Wang, M On conserved quantities of certain cohomogeneity one Ricci-flat equations |
| title | On conserved quantities of certain cohomogeneity one Ricci-flat equations |
| title_full | On conserved quantities of certain cohomogeneity one Ricci-flat equations |
| title_fullStr | On conserved quantities of certain cohomogeneity one Ricci-flat equations |
| title_full_unstemmed | On conserved quantities of certain cohomogeneity one Ricci-flat equations |
| title_short | On conserved quantities of certain cohomogeneity one Ricci-flat equations |
| title_sort | on conserved quantities of certain cohomogeneity one ricci flat equations |
| work_keys_str_mv | AT dancera onconservedquantitiesofcertaincohomogeneityonericciflatequations AT wangm onconservedquantitiesofcertaincohomogeneityonericciflatequations |