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- W1496870001 abstract "Let $mathcal{H}_{n,k}(Sigma)$ be the space of degree $ngeq 1$ holomorphic maps from a compact Riemann surface $Sigma $ to $mathbb{C}P^k$. In the case $Sigma=S^2$ and $n=1$, the $L^2$ metric on $mathcal{H}_{1,k}(S^2)$ was computed exactly by Speight. In this paper, the Ricci curvature tensor and the scalar curvature on $mathcal{H}_{1,k}(S^2)$ are determined explicitly for $kgeq 2$. An exact direct computation of the Einstein-Hilbert action with respect to the $L^2$ metric on $mathcal{H}_{1,k}(S^2)$ is made and shown to coincide with a formula conjectured by Baptista." @default.
- W1496870001 created "2016-06-24" @default.
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- W1496870001 date "2013-12-01" @default.
- W1496870001 modified "2023-09-27" @default.
- W1496870001 title "The Einstein–Hilbert action of the space of holomorphic maps from S2 to CPk" @default.
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- W1496870001 doi "https://doi.org/10.1016/j.geomphys.2013.07.010" @default.
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