Zero mean curvature surfaces in isotropic three-space

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참고문헌 (23)

1. Reiko Aiyama, "Kenmotsu-Bryant type representation formulas for constant mean curvature surfaces in H3(-c 2)and S 31(c 2)", Annals of Global Analysis and Geometry, 17(1), pp.49~75 (1999), Springer Science and Business Media LLC[DOI]
2. LUIS J. ALÍAS, "Curvature properties of zero mean curvature surfaces in four-dimensional Lorentzian space forms", Mathematical Proceedings of the Cambridge Philosophical Society, 124(2), pp.315~327 (1998), Cambridge University Press (CUP)[DOI]
3. R. L. Bryant, "Surfaces of mean curvature one in hyperbolic space", Ast´erisque, 12(154-155), pp.321~347 (1987)
4. Tobias H. Colding, "Shapes of embedded minimal surfaces", Proceedings of the National Academy of Sciences, 103(30), pp.11106~11111 (2006), Proceedings of the National Academy of Sciences[DOI]
5. L. C. B. da Silva, "Differential geometry of invariant surfaces in simply isotropic and pseudo-isotropic spaces", preprint arXiv:1810.00080v3, ~
6. M. Dede, "On the parallel surfaces in Galilean space", Hacet. J. Math. Stat, 42(6), pp.605~615 (2013)
7. Young Wook Kim, "Generalized surfaces with constant H", K in Euclidean three-space, 2007, pp.124(3), 343~361[DOI]
8. 김영욱, "SPACELIKE MAXIMAL SURFACES, TIMELIKE MINIMAL SURFACES, AND BJORLING REPRESENTATION FORMULAE", 대한수학회지, 48(5), pp.1083~1100 (2011), 대한수학회
9. Young Wook Kim, "Prescribing singularities of maximal surfaces via a singular Björling representation formula", Journal of Geometry and Physics, 57(11), pp.2167~2177 (2007), Elsevier BV[DOI]
10. Osamu KOBAYASHI, "Maximal surfaces in the 3-dimensional Minkowski space L3", Tokyo J. Math, 6(2), pp.297~309 (1983), Tokyo Journal of Mathematics[DOI]
11. H.L. Liu, "Surfaces in the lightlike cone", Journal of Mathematical Analysis and Applications, 325(2), pp.1171~1181 (2007), Elsevier BV[DOI]
12. "Representation of surfaces in 3-dimensional lightlike cone", Bull. Belg. Math. Soc. Simon Stevin, 18(4), pp.737~748 (2011)[DOI]
13. Huili Liu, "Hypersurfaces in lightlike cone", Journal of Geometry and Physics, 58(7), pp.913~922 (2008), Elsevier BV[DOI]
14. Xiang Ma, "Global geometry and topology of spacelike stationary surfaces in the 4-dimensional Lorentz space", Advances in Mathematics, 249, pp.311~347 (2013), Elsevier BV[DOI]
15. Mason Pember, "Weierstrass-type representations", Geometriae Dedicata, 204(1), pp.299~309 (2020), Springer Science and Business Media LLC[DOI]
16. H. Pottman, "Mathematics of Surfaces 2007", pp.341~363 (2007)
17. Wayne Rossman, "Irreducible constant mean curvature $1$ surfaces in hyperbolic space with positive genus", Tohoku Mathematical Journal, 49(4), pp.449~484 (1997), Mathematical Institute, Tohoku University[DOI]
18. Y. Sato, "d-minimal surfaces in three-dimensional singular semi-Euclidean space R0,2,1", arXiv:1809.07518v1, ~
19. J. J. Seo, "On the geometry of curves and surfaces in the isotropic three-space", Ph.D., pp.2020
20. 서진주, "Constant ratio curves in the isotropic plane and their deflection properties", 순수 및 응용수학, 28(1), pp.71~89 (2021), 한국수학교육학회[DOI]
21. M. Umehara, "Lorentzian geometry and related topics", pp.253~273 (2017), Springer
22. M. Weber, "Geometric analysis and nonlinear partial differential equations", pp.117~127 (2003), Springer
23. I. M. Yaglom, "A Simple Non-Euclidean Geometry and Its Physical Basis" (1979), Springer-Verlag

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