Surfaces of osculating circles in Euclidean space López Camino, Rafael Camci, Çetin Uçum, Ali Ilarslan, Kazim We introduce a new class of surfaces in Euclidean 3-space, called surfaces of osculating circles, using the concept of osculating circle of a regular curve. These surfaces contain a uniparametric family of planar lines of curvature. In this paper, we classify those ones that are canal surfaces and Weingarten surfaces. 2022-10-19T08:43:35Z 2022-10-19T08:43:35Z 2021-12-07 info:eu-repo/semantics/article Published version: López, R., Camci, Ç., Uçum, A. et al. Surfaces of Osculating Circles in Euclidean Space. Vietnam J. Math. (2022). [https://doi.org/10.1007/s10013-022-00585-0] https://hdl.handle.net/10481/77392 10.1007/s10013-022-00585-0 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess Attribution-NonCommercial-NoDerivatives 4.0 Internacional