A complete conformal metric of preassigned negative Gaussian curvature for a punctured hyperbolic Riemann surface

被引：0

作者：

Rukmini Dey

机构：

[1] Indian Institute of Technology,Department of Mathematics

来源：

Proceedings of the Indian Academy of Sciences - Mathematical Sciences | 2004年 / 114卷

关键词：

Punctured Riemann surfaces; prescribed curvature;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Leth be a complete metric of Gaussian curvature K0 on a punctured Riemann surface of genusg ≥ 1 (or the sphere with at least three punctures). Given a smooth negative functionK withK =K0 in neighbourhoods of the punctures we prove that there exists a metric conformal toh which attains this function as its Gaussian curvature for the punctured Riemann surface. We do so by minimizing an appropriate functional using elementary analysis.

引用

页码：141 / 151

页数：10

共 42 条

[1] A complete conformal metric of preassigned negative Gaussian curvature for a punctured hyperbolic Riemann surface
Dey, R
[J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2004, 114 (02): : 141 - 151
[2] A variational proof for the existence of a conformal metric with preassigned negative Gaussian curvature for compact Riemann surfaces of genus > 1
Rukmini Dey
[J]. Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2001, 111 : 407 - 414
[3] A variational proof for the existence of a conformal metric with preassigned negative Gaussian curvature for compact Riemann surfaces of genus > 1
Dey, R
[J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2001, 111 (04): : 407 - 414
[4] A variational proof for the existence of a conformal metric with preassigned negative Guassian curvature for compact Riemann surfaces of genus>1
Rukmini Dey
[J]. Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2003, 113 : 353 - 353
[5] A variational proof for the existence of a conformal metric with preassigned negative Gaussian curvature for compact Riemann surfaces of genus > 1 (vol 111, pg 407, 2001)
Dey, R
[J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2003, 113 (03): : 353 - 353
[6] A variational proof for the existence of a conformal metric with preassigned negative Gaussian curvature for compact Riemann surfaces of genus >1 (vol 111, pg 407, 2001)
Dey, R
[J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2004, 114 (02): : 215 - 215
[7] HYPERBOLIC METRIC, PUNCTURED RIEMANN SPHERE, AND MODULAR FUNCTIONS
Qian, Junqing
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 373 (12) : 8751 - 8784
[8] Conformal deformation of complete surface with negative curvature
Zhou, DT
[J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 1997, 18 (02) : 173 - 180
[9] CONFORMAL DEFORMATION OF COMPLETE SURFACE WITH NEGATIVE CURVATURE
ZHOU DETANG * Manuscript received October 31
[J]. Chinese Annals of Mathematics,Series B, 1997, (02) : 36 - 43
[10] PRESCRIBING GAUSSIAN CURVATURE ON CLOSED RIEMANN SURFACE WITH CONICAL SINGULARITY IN THE NEGATIVE CASE
Yang, Yunyan
Zhu, Xiaobao
[J]. ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2019, 44 : 167 - 181

← 1 2 3 4 5 →