Scientific Research

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Paper Publications

• The Gauss-Bonnet type theorem for future directed fronts in hyperbolic 3-space and de Sitter 3-space, Hokkaido Mathematical Journal. 2023,52(1):1-22
• Evolutes of the (n, m)-cusp mixed-type curves in the Lorentz-Minkowski plane, International Journal of Geometric Methods in Modern Physics. 2021,18(1)
• Duality between wavefronts and caustics, Optik. 2021,230
• Duality of the evolute-involute pair and its application, IEEE Access. 2019,7:72072–72075
• Evolutes of (n, m)-cusp curves and application in optical system, Optik. 2018,162:42-53

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