[1] Chen X X.Obstruction to the existence of metric whose curvature has umbilical Hessian in a K-surface[J]. Communications in Analysis and Geometry, 2000, 8(2): 267-299. DOI:10.4310/cag.2000.v8.n2.a2
[2] Chen Q, Chen X X, Wu Y Y.The structure of HCMU metric in a K-surface[J]. International Mathematics Research Notices, 2005, 2005(16): 941-958. DOI:10.1155/IMRN.2005.941.
[3] Chen Q, Wu Y Y.Character 1-form and the existence of an HCMU metric[J]. Mathematische Annalen, 2011, 351(2): 327-345. DOI:10.1007/s00208-010-0598-z.
[4] Chen Q, Wu Y Y, Xu B.On one-dimensional and singular Calabi’s extremal metrics whose Gauss curvatures have nonzero umbilical Hessians[J]. Israel Journal of Mathematics, 2015, 208(1): 385-412. DOI:10.1007/s11856-015-1204-6.
[5] Chen Q, Wang W, Wu Y Y, et al.Conformal metrics with constant curvature one and finitely many conical singularities on compact Riemann surfaces[J]. Pacific Journal of Mathematics, 2015, 273(1): 75-100. DOI:10.2140/pjm.2015.273.75.
[6] Wei Z Q, Wu Y Y, Xu B. Geometric structure and existence of reducible spherical conical metrics [EB/OL].2022: arXiv: 2211.11929.(2022-11-22) [2026-3-9] https://arxiv.org/abs/2211.11929.
[7] G. Springer, Introduction to Riemann Surfaces[M], Addison-Wesley, 1957. |
