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In this paper, we define the generalized golden shaped hypersurfaces in Lorentz space forms. Based on the classification of proper semi-Riemannian hypersurfaces in semi-Riemannian real space forms, we obtain the whole families of the generalized golden shaped hypersurfaces in Lorentz space forms.
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참고문헌 (9)
참고문헌 신청
N. Abe / 1987 / Congruence theorems for proper semi-Riemannian hypersurfaces in a real space form / Yokohama Math. J 35(1-2):123~136
M. -C. Crasmareanu / 2008 / Golden differential geometry / Chaos Solitons Fractals 38(5):1229~1238
M. -C. Crasmareanu / 2013 / Golden- and product-shaped hypersurfaces in real space forms / Int. J. Geom. Methods Mod. Phys 10(4):9
R. Heyrovska / 2004 / The Golden ratio ionic and atomic radii and bond lengths / Mol. Phys 103:877~882
C. -E. Hretcanu / 2009 / Applications of the golden ratio on Riemannian manifolds / Turkish J. Math 33(2):179~191
M. -C. Crasmareanu / 2008 / Golden differential geometry / Chaos Solitons Fractals 38(5):1229~1238
M. -C. Crasmareanu / 2013 / Golden- and product-shaped hypersurfaces in real space forms / Int. J. Geom. Methods Mod. Phys 10(4):9
R. Heyrovska / 2004 / The Golden ratio ionic and atomic radii and bond lengths / Mol. Phys 103:877~882
C. -E. Hretcanu / 2009 / Applications of the golden ratio on Riemannian manifolds / Turkish J. Math 33(2):179~191
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