{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,31]],"date-time":"2026-03-31T08:13:03Z","timestamp":1774944783952,"version":"3.50.1"},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2014,10,16]],"date-time":"2014-10-16T00:00:00Z","timestamp":1413417600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[2014,12]]},"DOI":"10.1007\/s00454-014-9622-5","type":"journal-article","created":{"date-parts":[[2014,10,15]],"date-time":"2014-10-15T14:50:34Z","timestamp":1413384634000},"page":"612-629","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Discrete constant mean curvature nets in space forms: Steiner\u2019s formula and Christoffel duality"],"prefix":"10.1007","volume":"52","author":[{"given":"Alexander I.","family":"Bobenko","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Udo","family":"Hertrich-Jeromin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Inna","family":"Lukyanenko","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,10,16]]},"reference":[{"key":"9622_CR1","first-page":"187","volume":"475","author":"A Bobenko","year":"1996","unstructured":"Bobenko, A., Pinkall, U.: Discrete isothermic surfaces. J. Reine Angew Math. 475, 187\u2013208 (1996)","journal-title":"J. Reine Angew Math."},{"key":"9622_CR2","first-page":"3","volume":"16","author":"A Bobenko","year":"1999","unstructured":"Bobenko, A., Pinkall, U.: Discretization of surfaces and integrable systems. Oxf. Lect. Ser. Math. Appl. 16, 3\u201358 (1999)","journal-title":"Oxf. Lect. Ser. Math. Appl."},{"key":"9622_CR3","doi-asserted-by":"crossref","first-page":"231","DOI":"10.4007\/annals.2006.164.231","volume":"164","author":"A Bobenko","year":"2006","unstructured":"Bobenko, A., Hoffmann, T., Springborn, B.: Minimal surfaces from circle patterns: geometry from combinatorics. Ann. Math. 164, 231\u2013264 (2006)","journal-title":"Ann. Math."},{"key":"9622_CR4","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-7643-8621-4","volume-title":"Discrete Differential Geometry. Integrable Structure, Graduate Studies in Mathematics","author":"A Bobenko","year":"2008","unstructured":"Bobenko, A., Suris, Y.: Discrete Differential Geometry. Integrable Structure, Graduate Studies in Mathematics. American Mathematical Society, Providence, RI (2008)"},{"key":"9622_CR5","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s00208-009-0467-9","volume":"348","author":"A Bobenko","year":"2010","unstructured":"Bobenko, A., Pottmann, H., Wallner, J.: A curvature theory for discrete surfaces based on mesh parallelity. Math. Ann. 348, 1\u201324 (2010)","journal-title":"Math. Ann."},{"key":"9622_CR6","first-page":"133","volume":"1880","author":"F Burstall","year":"2014","unstructured":"Burstall, F., Hertrich-Jeromin, U., Rossman, W., Santos, S.: Discrete surfaces of constant mean curvature. RIMS Kokyuroku 1880, 133\u2013179 (2014)","journal-title":"RIMS Kokyuroku"},{"key":"9622_CR7","doi-asserted-by":"crossref","unstructured":"Burstall, F., Hertrich-Jeromin, U., Rossman, W.: Discrete linear Weingarten surfaces, arXiv:1406.1293 (2014).","DOI":"10.7546\/jgsp-40-2015-25-33"},{"key":"9622_CR8","first-page":"23","volume-title":"Elliptic and Parabolic Methods in Geometry","author":"K Gro\u00dfe-Brauckmann","year":"1996","unstructured":"Gro\u00dfe-Brauckmann, K., Polthier, K.: Numerical examples of compact constant mean curvature surfaces. In: Chow, B. (ed.) Elliptic and Parabolic Methods in Geometry, pp. 23\u201346. CRC Press, Boca Raton (1996)"},{"key":"9622_CR9","first-page":"59","volume":"16","author":"U Hertrich-Jeromin","year":"1999","unstructured":"Hertrich-Jeromin, U., Hoffmann, T., Pinkall, U.: A discrete version of the Darboux transform for isothermic surfaces. Oxf. Lect. Ser. Math. Appl. 16, 59\u201381 (1999)","journal-title":"Oxf. Lect. Ser. Math. Appl."},{"key":"9622_CR10","series-title":"Introduction to M\u00f6bius differential geometry","volume-title":"Mathematical Society Lecture Note Series","author":"U Hertrich-Jeromin","year":"2003","unstructured":"Hertrich-Jeromin, U.: Mathematical Society Lecture Note Series. Introduction to M\u00f6bius differential geometry. Cambridge University Press, Cambridge (2003)"},{"key":"9622_CR11","unstructured":"Hertrich-Jeromin, U., Rossman, W.: Discrete minimal catenoid in hyperbolic 3-space. Electr Geom Model 2010.11.001 (2010)."},{"key":"9622_CR12","doi-asserted-by":"crossref","first-page":"5605","DOI":"10.1090\/S0002-9947-2012-05698-4","volume":"364","author":"T Hoffmann","year":"2012","unstructured":"Hoffmann, T., Rossman, W., Sasaki, T., Yoshida, M.: Discrete flat surfaces and linear Weingarten surfaces in hyperbolic $$3$$ 3 -space. Trans. AMS 364, 5605\u20135644 (2012)","journal-title":"Trans. AMS"},{"key":"9622_CR13","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1080\/10586458.1993.10504266","volume":"2","author":"U Pinkall","year":"1993","unstructured":"Pinkall, U., Polthier, K.: Computing discrete minimal surfaces and their conjugates. Exp. Math. 2, 15\u201336 (1993)","journal-title":"Exp. Math."},{"key":"9622_CR14","doi-asserted-by":"crossref","first-page":"2449","DOI":"10.1098\/rspa.2003.1135","volume":"459","author":"W Schief","year":"2003","unstructured":"Schief, W.: On the unification of classical and novel integrable surfaces II. Difference geometry. Proc. R. Soc. Lond. A 459, 2449\u20132462 (2003)","journal-title":"Proc. R. Soc. Lond. A"},{"key":"9622_CR15","doi-asserted-by":"crossref","first-page":"1484","DOI":"10.1016\/j.geomphys.2005.07.007","volume":"56","author":"W Schief","year":"2006","unstructured":"Schief, W.: On a maximum principle for minimal surfaces and their integrable discrete counterparts. J. Geom. Phys. 56, 1484\u20131495 (2006)","journal-title":"J. Geom. Phys."}],"container-title":["Discrete & Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-014-9622-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00454-014-9622-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-014-9622-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,4,20]],"date-time":"2022-04-20T00:31:22Z","timestamp":1650414682000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00454-014-9622-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,10,16]]},"references-count":15,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2014,12]]}},"alternative-id":["9622"],"URL":"https:\/\/doi.org\/10.1007\/s00454-014-9622-5","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"value":"0179-5376","type":"print"},{"value":"1432-0444","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,10,16]]}}}