PARABOLIC BUNDLES AND SPHERICAL METRICS

TY - JOUR

T1 - PARABOLIC BUNDLES AND SPHERICAL METRICS

AU - de Borbon, Martin

AU - Panov, Dmitri

N1 - Funding Information: Received by the editors September 27, 2021, and, in revised form, February 18, 2022. 2020 Mathematics Subject Classification. Primary 57M50, 32L05; Secondary 34M35, 53C45, 32S65. This work was supported by EPSRC Project EP/S035788/1, Kähler manifolds of constant curvature with conical singularities. Publisher Copyright: © 2022 American Mathematical Society.

PY - 2022/12/1

Y1 - 2022/12/1

N2 - We use the Kobayashi-Hitchin correspondence for parabolic bundles to reprove the results of Troyanov [Trans. Amer. Math. Soc. 324 (1991), pp. 793-821] and Luo-Tian [Proc. Amer. Math. Soc. 116 (1992), pp. 1119-1129] regarding existence and uniqueness of conformal spherical metrics on the Riemann sphere with prescribed cone angles in the interval (0, 2π) at a given configuration of three or more points.

AB - We use the Kobayashi-Hitchin correspondence for parabolic bundles to reprove the results of Troyanov [Trans. Amer. Math. Soc. 324 (1991), pp. 793-821] and Luo-Tian [Proc. Amer. Math. Soc. 116 (1992), pp. 1119-1129] regarding existence and uniqueness of conformal spherical metrics on the Riemann sphere with prescribed cone angles in the interval (0, 2π) at a given configuration of three or more points.

UR - http://www.scopus.com/inward/record.url?scp=85140288993&partnerID=8YFLogxK

U2 - 10.1090/proc/16052

DO - 10.1090/proc/16052

M3 - Article

AN - SCOPUS:85140288993

SN - 0002-9939

VL - 150

SP - 5459

EP - 5472

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 12

ER -