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A Hamiltonian approach to the cohomogeneity one Ricci soliton equations and explicit examples of non-Kähler solitons

Abstract:
We show how to view the equations for a cohomogeneity one Ricci soliton as a Hamiltonian system with a constraint. We investigate conserved quantities and superpotentials, and use this to find some explicit formulae for Ricci solitons not of Kahler type in five dimensions.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1063/1.4972216

Authors


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Institution:
University of Oxford
Oxford college:
Jesus College
Role:
Author


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Funding agency for:
Wang, M
Grant:
OPG0009421
More from this funder
Funding agency for:
Betancourt de la Parra, A


Publisher:
AIP Publishing
Journal:
Journal of Mathematical Physics More from this journal
Volume:
57
Issue:
12
Pages:
1-18
Publication date:
2016-12-01
Acceptance date:
2016-12-01
DOI:
EISSN:
1089-7658
ISSN:
0022-2488


Pubs id:
pubs:664224
UUID:
uuid:2f7e5089-3e4c-4b8f-9271-99c8c9a76abd
Local pid:
pubs:664224
Source identifiers:
664224
Deposit date:
2016-12-06

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