Abstract
We prove that there exists at least one positive Einstein metric on HPm+1∦HPm+1 for m ≥ 2. Based on the existence of the first Einstein metric, we give a criterion to check the existence of a second Einstein metric on HPm+1∦HPm+1.
Original language | English |
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Pages (from-to) | 1004-1040 |
Number of pages | 37 |
Journal | Compositio Mathematica |
Volume | 160 |
Issue number | 5 |
DOIs | |
Publication status | Published - 8 Apr 2024 |
Keywords
- cohomogeneity-one metric
- Einstein metric