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October 2010 Harmonic maps from the Riemann sphere into the complex projective space and the harmonic sequences
Hiroko Kawabe
Kodai Math. J. 33(3): 367-382 (October 2010). DOI: 10.2996/kmj/1288962548

Abstract

When harmonic maps from the Riemann sphere into the complex projective space are energy bounded, it contains a subsequence converging to a bubble tree map fI: TICPn. We show that their ∂-transforms and $\overline{\partial}$-transforms are also energy bounded. Hence their subsequences converge to harmonic bubble tree maps $f_1^{I_1}:T^{I_1}$ → CPn and $f_{-1}^{I_{-1}}:T^{I_{-1}}$ → CPn respectively. In this paper, we show relations between fI, $f_1^{I_1}$ and $f_{-1}^{I_{-1}}$.

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Hiroko Kawabe. "Harmonic maps from the Riemann sphere into the complex projective space and the harmonic sequences." Kodai Math. J. 33 (3) 367 - 382, October 2010. https://doi.org/10.2996/kmj/1288962548

Information

Published: October 2010
First available in Project Euclid: 5 November 2010

zbMATH: 1214.58006
MathSciNet: MR2754327
Digital Object Identifier: 10.2996/kmj/1288962548

Rights: Copyright © 2010 Tokyo Institute of Technology, Department of Mathematics

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Vol.33 • No. 3 • October 2010
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