Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Sung Eun Koh"'
Publikováno v:
Comptes Rendus. Mathématique. 361:257-264
Publikováno v:
Proceedings of the American Mathematical Society. 147:1677-1685
Publikováno v:
Comptes Rendus Mathematique. 356:333-339
Choe and Soret [1] constructed infinitely many compact embedded minimal surfaces in S 3 by desingularizing Clifford tori which meet each other along a great circle at the angle of the same size. We show their method works with some modifications to c
Publikováno v:
Differential Geometry and its Applications. 40:209-222
We show that any ruled minimal surface in the Berger sphere is a helicoid whose axis is a Hopf fiber by solving the ruled minimal surface equation in the parametric form.
Publikováno v:
International Business Journal. 25:35-55
Publikováno v:
Pacific Journal of Mathematics. 261:477-496
It is shown that parts of planes, helicoids and hyperbolic paraboloids are the only minimal surfaces ruled by geodesics in the three dimensional Riemannian Heisenberg group. It is also shown that they are the only surfaces in the three dimensional He
Autor:
Masaaki Umehara, Wayne Rossman, H. Takahashi, Sung-Eun Koh, Young Wook Kim, Seong-Deog Yang, Heayong Shin, Shoichi Fujimori, Kotaro Yamada
Publikováno v:
Comptes Rendus Mathematique. 350:975-978
It is well known that space-like maximal surfaces and time-like minimal surfaces in Lorentz–Minkowski 3-space L 3 have singularities (i.e. points where the induced metric degenerates) in general. We are interested in the case where the singular set
Publikováno v:
Bulletin of the Australian Mathematical Society. 86:135-149
It is shown that a minimal surface in ℍ2×ℝ is invariant under a one-parameter group of screw motions if and only if it lies in the associate family of helicoids. It is also shown that the conjugate surfaces of the parabolic and hyperbolic helico
Publikováno v:
Journal of the Korean Mathematical Society. 48:1083-1100
We show that some class of spacelike maximal surfaces and timelike minimal surfaces match smoothly across the singular curve of the surfaces. Singular Bjorling representation formulae for generalized spacelike maximal surfaces and for generalized tim
Publikováno v:
Pacific Journal of Mathematics. 242:281-297
We provide two characterizations of helicoids in S 2 x ℝ and in ℍ 2 x ℝ. First, we show that any nontrivial ruled minimal surface in S 2 x ℝ and in ℍ 2 × ℝ is a part of a helicoid. Second, we also show that these surfaces can be characte