We give a survey on various results regarding the metric aspects of conic surfaces with emphasis on the prescribing curvature problem for conic surfaces.
基金Acknowledgements This paper grows out from the first Chinese-German Workshop on Metric Riemannian Geometry held in October 2015 at Shanghai Jiao Tong University. The author wishes to thank organizers for kind invitation and encouragement to write this survey. This work was partially supported by the Shanghai Sailing Program （No. 15YF1406200） and the National Natural Science Foundation of China （Grant No. 11501360）.
文摘We give a survey on various results regarding the metric aspects of conic surfaces with emphasis on the prescribing curvature problem for conic surfaces.
