Publikationen
2001
Issue 37

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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

37/2001

Classification of solutions of a Toda system in R^2

Jürgen Jost and Guofang Wang

Abstract

In this paper, we consider solutions of the following (open) Toda system (Toda lattice) for SU(N+1) $- \frac{1}{2} Δ u_{i} = \sum_{j = 1}^{N} a_{i j} e^{u_{j}} i n R^{2}$ for $i = 1, 2, . . ., . = N$ , where $K = (a_{i j})_{N \times N}$ is the Cartan matrix for SU(N+1). We show that any solution $u = (u_{1}, u_{2}, . . ., u_{N})$ with $\int_{R^{2}} e^{u_{i}} < \infty, i = 1, 2, . . ., N,$ can be obtained from a rational curve in $C P^{N}$ .

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Received:: 12.07.01

Published:: 12.07.01

Related publications

inJournal

2002 Repository Open Access

Jürgen Jost and Guofang Wang

Classification of solutions of a Toda system in $R^{2}$

In: International mathematics research notices, 2002 (2002) 6, pp. 277-290

BibTex DOI: 10.1155/S1073792802105022 ArXiv: math-ph/0105045

MiS Preprint Repository

Classification of solutions of a Toda system in R^2

Abstract

Related publications

Classification of solutions of a Toda system in R2

Classification of solutions of a Toda system in $R^{2}$