[{"file":[{"date_created":"2023-10-04T11:46:24Z","success":1,"content_type":"application/pdf","file_id":"14396","relation":"main_file","checksum":"cdbf90ba4a7ddcb190d37b9e9d4cb9d3","date_updated":"2023-10-04T11:46:24Z","access_level":"open_access","file_name":"2023_DiscreteGeometry_Kourimska.pdf","creator":"dernst","file_size":1026683}],"_id":"12764","abstract":[{"text":"We study a new discretization of the Gaussian curvature for polyhedral surfaces. This discrete Gaussian curvature is defined on each conical singularity of a polyhedral surface as the quotient of the angle defect and the area of the Voronoi cell corresponding to the singularity. We divide polyhedral surfaces into discrete conformal classes using a generalization of discrete conformal equivalence pioneered by Feng Luo. We subsequently show that, in every discrete conformal class, there exists a polyhedral surface with constant discrete Gaussian curvature. We also provide explicit examples to demonstrate that this surface is in general not unique.","lang":"eng"}],"date_published":"2023-07-01T00:00:00Z","article_processing_charge":"Yes (via OA deal)","file_date_updated":"2023-10-04T11:46:24Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"volume":70,"publication_status":"published","oa":1,"article_type":"original","oa_version":"Published Version","year":"2023","has_accepted_license":"1","scopus_import":"1","external_id":{"isi":["000948148000001"]},"date_updated":"2023-10-04T11:46:48Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_identifier":{"issn":["0179-5376"],"eissn":["1432-0444"]},"month":"07","date_created":"2023-03-26T22:01:09Z","page":"123-153","publication":"Discrete and Computational Geometry","department":[{"_id":"HeEd"}],"quality_controlled":"1","intvolume":"        70","status":"public","publisher":"Springer Nature","isi":1,"day":"01","type":"journal_article","author":[{"orcid":"0000-0001-7841-0091","id":"D9B8E14C-3C26-11EA-98F5-1F833DDC885E","last_name":"Kourimska","first_name":"Hana","full_name":"Kourimska, Hana"}],"citation":{"mla":"Kourimska, Hana. “Discrete Yamabe Problem for Polyhedral Surfaces.” <i>Discrete and Computational Geometry</i>, vol. 70, Springer Nature, 2023, pp. 123–53, doi:<a href=\"https://doi.org/10.1007/s00454-023-00484-2\">10.1007/s00454-023-00484-2</a>.","ieee":"H. Kourimska, “Discrete yamabe problem for polyhedral surfaces,” <i>Discrete and Computational Geometry</i>, vol. 70. Springer Nature, pp. 123–153, 2023.","ista":"Kourimska H. 2023. Discrete yamabe problem for polyhedral surfaces. Discrete and Computational Geometry. 70, 123–153.","chicago":"Kourimska, Hana. “Discrete Yamabe Problem for Polyhedral Surfaces.” <i>Discrete and Computational Geometry</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/s00454-023-00484-2\">https://doi.org/10.1007/s00454-023-00484-2</a>.","apa":"Kourimska, H. (2023). Discrete yamabe problem for polyhedral surfaces. <i>Discrete and Computational Geometry</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00454-023-00484-2\">https://doi.org/10.1007/s00454-023-00484-2</a>","ama":"Kourimska H. Discrete yamabe problem for polyhedral surfaces. <i>Discrete and Computational Geometry</i>. 2023;70:123-153. doi:<a href=\"https://doi.org/10.1007/s00454-023-00484-2\">10.1007/s00454-023-00484-2</a>","short":"H. Kourimska, Discrete and Computational Geometry 70 (2023) 123–153."},"title":"Discrete yamabe problem for polyhedral surfaces","language":[{"iso":"eng"}],"ddc":["510"],"doi":"10.1007/s00454-023-00484-2","project":[{"name":"Algebraic Footprints of Geometric Features in Homology","grant_number":"I04245","_id":"26AD5D90-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"acknowledgement":"Open access funding provided by the Austrian Science Fund (FWF). This research was supported by the FWF grant, Project number I4245-N35, and by the Deutsche Forschungsgemeinschaft (DFG - German Research Foundation) - Project-ID 195170736 - TRR109."},{"_id":"10071","date_published":"2021-10-01T00:00:00Z","issue":"9","article_processing_charge":"No","volume":68,"main_file_link":[{"url":"http://www.ams.org/notices/","open_access":"1"}],"oa":1,"publication_status":"published","year":"2021","oa_version":"Published Version","article_type":"letter_note","publication_identifier":{"issn":["0002-9920"],"eissn":["1088-9477"]},"date_updated":"2021-12-03T07:31:26Z","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","scopus_import":"1","date_created":"2021-10-03T22:01:22Z","month":"10","page":"1511-1514","intvolume":"        68","status":"public","department":[{"_id":"HeEd"}],"quality_controlled":"1","publication":"Notices of the American Mathematical Society","publisher":"American Mathematical Society","alternative_title":["Early Career"],"type":"journal_article","author":[{"last_name":"Adams","full_name":"Adams, Henry","first_name":"Henry"},{"id":"D9B8E14C-3C26-11EA-98F5-1F833DDC885E","first_name":"Hana","full_name":"Kourimska, Hana","last_name":"Kourimska"},{"first_name":"Teresa","full_name":"Heiss, Teresa","last_name":"Heiss","id":"4879BB4E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1780-2689"},{"full_name":"Percival, Sarah","first_name":"Sarah","last_name":"Percival"},{"last_name":"Ziegelmeier","first_name":"Lori","full_name":"Ziegelmeier, Lori"}],"day":"01","title":"How to tutorial-a-thon","citation":{"short":"H. Adams, H. Kourimska, T. Heiss, S. Percival, L. Ziegelmeier, Notices of the American Mathematical Society 68 (2021) 1511–1514.","apa":"Adams, H., Kourimska, H., Heiss, T., Percival, S., &#38; Ziegelmeier, L. (2021). How to tutorial-a-thon. <i>Notices of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/noti2349\">https://doi.org/10.1090/noti2349</a>","ama":"Adams H, Kourimska H, Heiss T, Percival S, Ziegelmeier L. How to tutorial-a-thon. <i>Notices of the American Mathematical Society</i>. 2021;68(9):1511-1514. doi:<a href=\"https://doi.org/10.1090/noti2349\">10.1090/noti2349</a>","ista":"Adams H, Kourimska H, Heiss T, Percival S, Ziegelmeier L. 2021. How to tutorial-a-thon. Notices of the American Mathematical Society. 68(9), 1511–1514.","ieee":"H. Adams, H. Kourimska, T. Heiss, S. Percival, and L. Ziegelmeier, “How to tutorial-a-thon,” <i>Notices of the American Mathematical Society</i>, vol. 68, no. 9. American Mathematical Society, pp. 1511–1514, 2021.","chicago":"Adams, Henry, Hana Kourimska, Teresa Heiss, Sarah Percival, and Lori Ziegelmeier. “How to Tutorial-a-Thon.” <i>Notices of the American Mathematical Society</i>. American Mathematical Society, 2021. <a href=\"https://doi.org/10.1090/noti2349\">https://doi.org/10.1090/noti2349</a>.","mla":"Adams, Henry, et al. “How to Tutorial-a-Thon.” <i>Notices of the American Mathematical Society</i>, vol. 68, no. 9, American Mathematical Society, 2021, pp. 1511–14, doi:<a href=\"https://doi.org/10.1090/noti2349\">10.1090/noti2349</a>."},"doi":"10.1090/noti2349","language":[{"iso":"eng"}]}]