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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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We study helicoidal surfaces with the non-degenerate third fundamental form in Minkowski 3-space. In particular, we mainly focus on the study of helicoidal surfaces with light-like axis in Minkowski 3- space. As a result, we classify helicoidal surfaces satisfying an equation in terms of the position vector field and the Laplace operator with respect to the third fundamental form on the surface.
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참고문헌 (11)
참고문헌 신청
B. O’Neill / 1983 / Semi-Riemannian Geometry and its applications to Relativity / Academic Press
B. Senoussi / 2013 / Helicoidal surfaces in the 3-dimensional Lorentz-Minkowski space E31 satisfying ?III r = Ar / Tsukuba J. Math 37 (2) : 339 ~ 353
C. W. Lee / 2010 / Ruled surfaces of non-degenerate third fun-damental forms in Minkowski 3-space / Appl. Math. Comput 216 (11) : 3200 ~ 3208
G. Kaimakamis / 2004 / Surfaces of revolution in the 3-dimensional Lorentz-Minkowski space satisfying ?II→r = A→r / J. Geom 81 (1-2) : 81 ~ 92
G. Kaimakamis / 2005 / Surfaces of revolution in the 3-dimensional Lorentz-Minkowski space E31 satis-fying ?III→r = A→r / Bull. Greek Math. Soc 50 : 75 ~ 90
B. Senoussi / 2013 / Helicoidal surfaces in the 3-dimensional Lorentz-Minkowski space E31 satisfying ?III r = Ar / Tsukuba J. Math 37 (2) : 339 ~ 353
C. W. Lee / 2010 / Ruled surfaces of non-degenerate third fun-damental forms in Minkowski 3-space / Appl. Math. Comput 216 (11) : 3200 ~ 3208
G. Kaimakamis / 2004 / Surfaces of revolution in the 3-dimensional Lorentz-Minkowski space satisfying ?II→r = A→r / J. Geom 81 (1-2) : 81 ~ 92
G. Kaimakamis / 2005 / Surfaces of revolution in the 3-dimensional Lorentz-Minkowski space E31 satis-fying ?III→r = A→r / Bull. Greek Math. Soc 50 : 75 ~ 90
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