Singularities of Translation Surfaces in the Euclidean 3-Space

Author:

Fukunaga Tomonori,Takahashi Masatomo

Funder

Japan Society for the Promotion of Science

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Reference30 articles.

1. Akamine, S.: Behavior of the Gaussian curvature of timelike minimal surfaces with singularities. Hokkaido Math. J. 48, 538–563 (2019)

2. Arnol’d, V.I.: Singularities of Caustics and Wave Fronts. Mathematics and Its Applications, vol. 62. Kluwer Academic Publishers, Dordrecht (1990)

3. Conejero, J.A., Jiménez-Rodríguez, P., Muõz-Fernández, G.A., Seoane-Sepúlveda, J.B.: When the identity theorem “seems’’ to fail. Amer. Math. Monthly 121(1), 60–68 (2014)

4. Darboux, G.: Leçons sur la Théorie Générale des Surface et ses Applications Géométriques du Calcul Infinitésimal, Vol. 1-4, Chelsea Publ. Co, reprint (1972)

5. Dillen, F., Van de Woestyne, I., Verstraelen, L., Walrave, J.T.: The surface of Scherk in $$E^3$$: a special case in the class of minimal surfaces defined as the sum of two curves. Bull. Inst. Math. Acad. Sin. 26, 257–267 (1998)

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