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Results tagged with geometric-analysis
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user 13972
5
votes
Accepted
Existence of harmonic maps onto the $n$-sphere
A simple example where the answer is 'no' is when $M=\mathbb{RP}^2$ (with, say, the standard metric of Gauss curvature $K\equiv1$, though, in dimension $2$, only the conformal structure on $M$ matters …
- 108k
10
votes
Accepted
Is the Nijenhuis tensor an obstruction to the existence of non constant pseudo-holomorphic m...
The brief answer to your question is 'no': For example, take $N=M$ and $J_N=J_M$. Then the identity map of $N$ is a nonconstant pseudo-holomorphic map.
What is true is that the nonvanishing of the …
- 108k