Superpotentials and the Cohomogeneity One Einstein Equations |
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| Authors: | Email author" target="_blank">A?DancerEmail author M?Wang |
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| Institution: | (1) Jesus College, Oxford University, Oxford, OX1 3DW, United Kingdom;(2) Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, L8S 4K1, Canada |
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| Abstract: | Using ideas from convex geometry, we prove a classification theorem, under suitable hypotheses, for superpotentials of the Hamiltonian form of the cohomogeneity one Ricci-flat equations. Some new superpotentials are also constructed and their associated first order systems analysed. The situation with a cosmological constant is briefly examined.The second author was partly supported by NSERC grant No. OPG0009421. |
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