dorsal/arxiv
View SchemaHolomorphic Curves and Toda Systems
| Authors | Adam Doliwa |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9506004 |
| URL | https://arxiv.org/abs/solv-int/9506004 |
| DOI | 10.1007/s11005-997-1032-7 |
| Journal | Lett. Math. Phys. 39 (1997) 21 |
Abstract
Geometry of holomorphic curves from point of view of open Toda systems is discussed. Parametrization of curves related this way to non-exceptional simple Lie algebras is given. This gives rise to explicit formulas for minimal surfaces in real, complex and quaternionic projective spaces or complex quadrics. The paper generalizes the well known connection between minimal surfaces in $\EE^{3}$, their Weierstrass representation in terms of holomorphic functions and the general solution to the Liouville equation.
{
"annotation_id": "86682634-1d7f-4035-b2b1-5e9abf0cf38d",
"date_created": "2026-03-02T18:02:50.814000Z",
"date_modified": "2026-03-02T18:02:50.814000Z",
"file_hash": "354e15b871fd72be61a6720addc8d87c8ce27db7c7f266cb749caf7bb7301ca9",
"private": false,
"record": {
"abstract": "Geometry of holomorphic curves from point of view of open Toda systems is\ndiscussed. Parametrization of curves related this way to non-exceptional simple\nLie algebras is given. This gives rise to explicit formulas for minimal\nsurfaces in real, complex and quaternionic projective spaces or complex\nquadrics. The paper generalizes the well known connection between minimal\nsurfaces in $\\EE^{3}$, their Weierstrass representation in terms of holomorphic\nfunctions and the general solution to the Liouville equation.",
"arxiv_id": "solv-int/9506004",
"authors": [
"Adam Doliwa"
],
"categories": [
"solv-int",
"alg-geom",
"dg-ga",
"math.AG",
"math.DG",
"nlin.SI"
],
"doi": "10.1007/s11005-997-1032-7",
"journal_ref": "Lett. Math. Phys. 39 (1997) 21",
"title": "Holomorphic Curves and Toda Systems",
"url": "https://arxiv.org/abs/solv-int/9506004"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "02d3086b-ac40-4cf6-ad35-9cc0ddf2cb5c",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}