Springer Nature
Geometriae Dedicata
,  volume 214 ,  issue 1 ,  pages 651-669

Generalized Kazdan-Warner equations associated with a linear action of a torus on a complex vector space

Publication type: Journal Article
Publication date: 2021-05-29
Springer Nature
scimago Q2
wos Q3
SJR: 0.644
CiteScore: 0.9
Impact factor: 0.5
ISSN: 00465755, 15729168
Geometry and Topology
Abstract
We introduce generalized Kazdan-Warner equations on Riemannian manifolds associated with a linear action of a torus on a complex vector space. We show the existence and the uniqueness of the solution of the equation on any compact Riemannian manifold. As an application, we give a new proof of a theorem of Baraglia [5] which asserts that a cyclic Higgs bundle gives a solution of the periodic Toda equation.
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Miyatake N. Generalized Kazdan-Warner equations associated with a linear action of a torus on a complex vector space // Geometriae Dedicata. 2021. Vol. 214. No. 1. pp. 651-669.
GOST all authors (up to 50) Copy
Miyatake N. Generalized Kazdan-Warner equations associated with a linear action of a torus on a complex vector space // Geometriae Dedicata. 2021. Vol. 214. No. 1. pp. 651-669.
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RIS Copy
TY - JOUR
DO - 10.1007/s10711-021-00632-z
UR - https://doi.org/10.1007/s10711-021-00632-z
TI - Generalized Kazdan-Warner equations associated with a linear action of a torus on a complex vector space
T2 - Geometriae Dedicata
AU - Miyatake, Natsuo
PY - 2021
DA - 2021/05/29
PB - Springer Nature
SP - 651-669
IS - 1
VL - 214
SN - 0046-5755
SN - 1572-9168
ER -
BibTex |
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BibTex (up to 50 authors) Copy
@article{2021_Miyatake,
author = {Natsuo Miyatake},
title = {Generalized Kazdan-Warner equations associated with a linear action of a torus on a complex vector space},
journal = {Geometriae Dedicata},
year = {2021},
volume = {214},
publisher = {Springer Nature},
month = {may},
url = {https://doi.org/10.1007/s10711-021-00632-z},
number = {1},
pages = {651--669},
doi = {10.1007/s10711-021-00632-z}
}
MLA
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MLA Copy
Miyatake, Natsuo. “Generalized Kazdan-Warner equations associated with a linear action of a torus on a complex vector space.” Geometriae Dedicata, vol. 214, no. 1, May. 2021, pp. 651-669. https://doi.org/10.1007/s10711-021-00632-z.