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Jul 8, 2021 at 18:30 vote accept Misha Verbitsky
Jul 2, 2021 at 10:16 answer added Robert Bryant timeline score: 8
Jul 1, 2021 at 21:25 history edited Misha Verbitsky CC BY-SA 4.0
edited body
Jul 1, 2021 at 21:24 comment added Misha Verbitsky this is a misprint! Many thanks. I meant to say "Then α is known to be harmonic". Fixed.
Jul 1, 2021 at 20:40 comment added Robert Bryant This is not true. If $M= N\times S^1$, you would be saying that if $\beta$ is a harmonic form on $N$, then $\alpha = \beta\wedge\mathrm{d}\theta$ is parallel on $M$, which is clearly not the case in general. (For a specific example, let $N$ be a compact Riemann surface of genus $2$.) You must have omitted some hypothesis.
Jul 1, 2021 at 19:19 history edited Matthieu Romagny CC BY-SA 4.0
remove extraneous "a" from title
Jul 1, 2021 at 17:46 history asked Misha Verbitsky CC BY-SA 4.0