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Helicoidal surfaces and their Gauss map in Minkowski 3-space II

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초록

We classify and characterize the rational helicoidal surfaces in a three-dimensional Minkowski space satisfying pointwise 1-type like problem on the Gauss map.

Abstract

We classify and characterize the rational helicoidal surfaces in a three-dimensional Minkowski space satisfying pointwise 1-type like problem on the Gauss map.

참고문헌 (8)

  1. C. Baikoussis, "On the Gauss map of helicoidal surfaces", Rend. Sem. Mat. Messina Ser. II, 2(16), pp.31~42 (1993)
  2. C. C. Beneki, "Helicoidal surfaces in threedimensional Minkowski space", J. Math. Anal. Appl, 275(2), pp.586~614 (2002)
  3. B.-Y. Chen, "Total Mean Curvature and Submanifolds of Finite Type, Series in Pure Mathematics" (1984), World Scientific Publishing Co
  4. Miekyung Choi, "Helicoidal surfaces with pointwise 1-type Gauss map", 대한수학회지, 46(1), pp.215~223 (2009), 대한수학회
  5. Miekyung Choi, "Helicoidal surfaces and their Gauss map in Minkowski 3-space II", 대한수학회보, 46(3), pp.567~576 (2009), 대한수학회
  6. F. Ji, "Helicoidal surfaces under the cubic screw motion in Minkowski 3-space", J. Math. Anal. Appl., 318(2), pp.634~647 (2006)
  7. Y. H. Kim, "Classification of ruled surfaces in Minkowski 3-spaces", J. Geom. Phys, 49(1), pp.89~100 (2004)
  8. Y. H. Kim, "On the Gauss map of ruled surfaces in Minkowski space", Rocky Mountain J. Math., 35(5), pp.1555~1581 (2005)

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