Cohomogeneity one shrinking Ricci solitons: an analytic and numerical study
We use analytical and numerical methods to investigate the equations for cohomogeneity one shrinking gradient Ricci solitons. We show the existence of a winding number for this system around the subvariety of phase space corresponding to Einstein solutions and obtain some estimates for it. We prove...
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| Materiálatiipa: | Journal article |
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International Press
2013
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| _version_ | 1826279188254949376 |
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| author | Dancer, A Hall, S Wang, M |
| author_facet | Dancer, A Hall, S Wang, M |
| author_sort | Dancer, A |
| collection | OXFORD |
| description | We use analytical and numerical methods to investigate the equations for cohomogeneity one shrinking gradient Ricci solitons. We show the existence of a winding number for this system around the subvariety of phase space corresponding to Einstein solutions and obtain some estimates for it. We prove a non-existence result for certain orbit types, analogous to that of Böhm in the Einstein case. We also carry out numerical investigations for selected orbit types. |
| first_indexed | 2024-03-06T23:55:02Z |
| format | Journal article |
| id | oxford-uuid:73e9a146-b8b8-4e6c-8c35-2ebcbef1dece |
| institution | University of Oxford |
| last_indexed | 2024-03-06T23:55:02Z |
| publishDate | 2013 |
| publisher | International Press |
| record_format | dspace |
| spelling | oxford-uuid:73e9a146-b8b8-4e6c-8c35-2ebcbef1dece2022-03-26T19:59:29ZCohomogeneity one shrinking Ricci solitons: an analytic and numerical studyJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:73e9a146-b8b8-4e6c-8c35-2ebcbef1deceSymplectic Elements at OxfordInternational Press2013Dancer, AHall, SWang, MWe use analytical and numerical methods to investigate the equations for cohomogeneity one shrinking gradient Ricci solitons. We show the existence of a winding number for this system around the subvariety of phase space corresponding to Einstein solutions and obtain some estimates for it. We prove a non-existence result for certain orbit types, analogous to that of Böhm in the Einstein case. We also carry out numerical investigations for selected orbit types. |
| spellingShingle | Dancer, A Hall, S Wang, M Cohomogeneity one shrinking Ricci solitons: an analytic and numerical study |
| title | Cohomogeneity one shrinking Ricci solitons: an analytic and numerical study |
| title_full | Cohomogeneity one shrinking Ricci solitons: an analytic and numerical study |
| title_fullStr | Cohomogeneity one shrinking Ricci solitons: an analytic and numerical study |
| title_full_unstemmed | Cohomogeneity one shrinking Ricci solitons: an analytic and numerical study |
| title_short | Cohomogeneity one shrinking Ricci solitons: an analytic and numerical study |
| title_sort | cohomogeneity one shrinking ricci solitons an analytic and numerical study |
| work_keys_str_mv | AT dancera cohomogeneityoneshrinkingriccisolitonsananalyticandnumericalstudy AT halls cohomogeneityoneshrinkingriccisolitonsananalyticandnumericalstudy AT wangm cohomogeneityoneshrinkingriccisolitonsananalyticandnumericalstudy |