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See detailOn gradient solitons of the Ricci-Harmonic flow
Guo, Hongxin; Philipowski, Robert UL; Thalmaier, Anton UL

in Acta Mathematica Sinica (2015), 31(11), 1798-1804

In this paper we study gradient solitons to the Ricci flow coupled with harmonic map heat flow. We derive new identities on solitons similar to those on gradient solitons of the Ricci flow. When the ... [more ▼]

In this paper we study gradient solitons to the Ricci flow coupled with harmonic map heat flow. We derive new identities on solitons similar to those on gradient solitons of the Ricci flow. When the soliton is compact, we get a classification result. We also discuss the relation with quasi-Einstein manifolds. [less ▲]

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