2024-03-29T15:06:18Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/431372022-11-17T02:08:08Zhdl_2115_20039hdl_2115_116Singularities of flat extensions from generic surfaces with boundariesIshikawa, Goo414We solve the problem on flat extensions of a generic surface with boundary in Euclidean 3-space, relating it to the singularity theory of the envelope generated by the boundary. We give related results on Legendre surfaces with boundaries via projective duality and observe the duality on boundary singularities. Moreover we give formulae related to remote singularities of the boundary-envelope.Elsevier B.V.Journal Articleapplication/pdfhttp://hdl.handle.net/2115/43137https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/43137/1/DGA28-3_341-354.pdf0926-2245Differential Geometry and its Applications2833413542010-06enginfo:doi/10.1016/j.difgeo.2010.02.001author