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Research Output 2001 2018

  • 204 Citations
  • 9 h-Index
  • 28 Article
2018

Helicoidal killing fields, helicoids and ruled minimal surfaces in homogeneous three-manifolds

Kim, Y. W., Koh, S. E., Lee, H. Y., Shin, H. & Yang, S-D., 2018 Jan 1, In : Journal of the Korean Mathematical Society. 55, 5, p. 1235-1255 21 p.

Research output: Contribution to journalArticle

Three-manifolds
Ruled Surface
Minimal surface
Helicoid
Isometry Group

Schwarz’ clp-surfaces in nil 3

Shin, H., Kim, Y. W., Koh, S. E., Lee, H. Y. & Yang, S-D., 2018 Jan 1, In : Proceedings of the American Mathematical Society. 147, 4, p. 1677-1685 9 p.

Research output: Contribution to journalArticle

Nil
Minimal surface
Two Parameters
Euclidean
Analogue
1 Citation (Scopus)

Surfaces minimales compactes intégrées dans la sphère de Berger

Translated title of the contribution: Compact embedded minimal surfaces in the Berger sphereShin, H., Kim, Y. W., Koh, S. E., Lee, H. Y. & Yang, S-D., 2018 Mar 1, In : Comptes Rendus Mathematique. 356, 3, p. 333-339 7 p.

Research output: Contribution to journalArticle

Minimal surface
Clifford Torus
Great circle
Angle
2017
8 Citations (Scopus)

A finite difference method for a conservative Allen–Cahn equation on non-flat surfaces

Kim, J., Jeong, D., Yang, S-D. & Choi, Y., 2017 Apr 1, In : Journal of Computational Physics. 334, p. 170-181 12 p.

Research output: Contribution to journalArticle

Lagrange multipliers
Finite difference method
Boundary conditions
operators
narrowband
1 Citation (Scopus)
Mean Curvature
Constant Mean Curvature
Reflection Principle
Unit normal vector
Space Curve
2016
2 Citations (Scopus)

Erratum to the article “Zero mean curvature surfaces in Lorentz-Minkowki 3-space which change type across a light-like line” Osaka J. Math. 52 (2015), 285–297

Fujimori, S., Kim, Y. W., Koh, S. E., Rossman, W., Shin, H., Umehara, M., Yamada, K. & Yang, S-D., 2016 Jan 1, In : Osaka Journal of Mathematics. 53, 1, p. 289-292 4 p.

Research output: Contribution to journalArticle

Mean Curvature
Line
Zero

Mathematical reconsideration of number of variables in power flow computation

Yang, S-D. & Lee, S. J., 2016 Jul 9, (Accepted/In press) In : Electrical Engineering. p. 1-4 4 p.

Research output: Contribution to journalArticle

Power Flow
Mathematical reasoning
Angle
2015
3 Citations (Scopus)

Ruled minimal surfaces in the Berger sphere

Shin, H., Kim, Y. W., Koh, S. E., Lee, H. Y. & Yang, S-D., 2015 Jun 1, In : Differential Geometry and its Application. 40, p. 209-222 14 p.

Research output: Contribution to journalArticle

Ruled Surface
Minimal surface
Helicoid
Fiber
Fibers
12 Citations (Scopus)

Zero mean curvature surfaces in lorentz–minkowski 3-space which change type across a light-like line

Fujimori, S., Kim, Y. W., Koh, S. E., Rossman, W., Shin, H., Umehara, M., Yamada, K. & Yang, S-D., 2015, In : Osaka Journal of Mathematics. 52, 1, p. 285-297 13 p.

Research output: Contribution to journalArticle

Mean Curvature
Maximal Surfaces
Spacelike Surface
Singular Set
Line
2014
9 Citations (Scopus)

Embedded triply periodic zero mean curvature surfaces of mixed type in Lorentz-Minkowski 3-space

Fujimori, S., Rossman, W., Umehara, M., Yamada, K. & Yang, S-D., 2014 Jan 1, In : Michigan Mathematical Journal. 63, 1, p. 189-207 19 p.

Research output: Contribution to journalArticle

Mean Curvature
Zero
2013
5 Citations (Scopus)

Ruled minimal surfaces in the three-dimensional heisenberg group

Shin, H., Kim, Y. W., Koh, S. E., Lee, H. Y. & Yang, S-D., 2013 Jun 12, In : Pacific Journal of Mathematics. 261, 2, p. 477-496 20 p.

Research output: Contribution to journalArticle

Ruled Surface
Heisenberg Group
Minimal surface
Three-dimensional
Riemannian Metric
2012
4 Citations (Scopus)

HELICOIDAL MINIMAL SURFACES in ℍ 2×ℝ

Kim, Y. W., Koh, S. E., Shin, H. & Yang, S-D., 2012 Aug 1, In : Bulletin of the Australian Mathematical Society. 86, 1, p. 135-149 15 p.

Research output: Contribution to journalArticle

Catenoid
Minimal surface
If and only if
Invariant
Motion
14 Citations (Scopus)

Zero mean curvature surfaces in L 3 containing a light-like line

Fujimori, S., Kim, Y. W., Koh, S. E., Rossman, W., Shin, H., Takahashi, H., Umehara, M., Yamada, K. & Yang, S-D., 2012 Nov 1, In : Comptes Rendus Mathematique. 350, 21-22, p. 975-978 4 p.

Research output: Contribution to journalArticle

Maximal Surfaces
Spacelike Surface
Singular Set
L-space
Minimal surface
2011
17 Citations (Scopus)

Spacelike maximal surfaces, timelike minimal surfaces, and björling representation formulae

Kim, Y. W., Koh, S. E., Shin, H. & Yang, S-D., 2011 Sep 1, In : Journal of the Korean Mathematical Society. 48, 5, p. 1083-1100 18 p.

Research output: Contribution to journalArticle

Maximal Surfaces
Spacelike Surface
Representation Formula
Minimal surface
Singular Curve
2010
26 Citations (Scopus)

A phase-field approach for minimizing the area of triply periodic surfaces with volume constraint

Yang, S-D., Lee, H. G. & Kim, J., 2010 Jun 1, In : Computer Physics Communications. 181, 6, p. 1037-1046 10 p.

Research output: Contribution to journalArticle

curvature
Volume fraction
minimal surfaces
Scaffolds
diamonds
17 Citations (Scopus)

Minimal surfaces in the three-sphere by doubling the Clifford torus

Kapouleas, N. & Yang, S-D., 2010 Apr 1, In : American Journal of Mathematics. 132, 2, p. 257-295 39 p.

Research output: Contribution to journalArticle

Clifford Torus
Minimal surface
Doubling
Square Lattice
Torus
2009
8 Citations (Scopus)

Helicoids in S{double-struck}2 × R{double-struck} and H{double-struck}2 × R{double-struck}

Kim, Y. W., Koh, S. E., Shin, H. & Yang, S-D., 2009 Oct 1, In : Pacific Journal of Mathematics. 242, 2, p. 281-297 17 p.

Research output: Contribution to journalArticle

Helicoid
Metric
Ruled Surface
Minimal surface
Mean Curvature
4 Citations (Scopus)

Minimal harmonic graphs and their Lorentzian cousins

Kim, Y. W., Lee, H. Y. & Yang, S-D., 2009 May 15, In : Journal of Mathematical Analysis and Applications. 353, 2, p. 666-670 5 p.

Research output: Contribution to journalArticle

Wave equation
Harmonic
Helicoid
Wave equations
Degenerate Equations
8 Citations (Scopus)

New maximal surfaces in minkowski 3-space with arbitrary genus and their cousins in de sitter 3-space

Fujimori, S., Rossman, W., Umehara, M., Yamada, K. & Yang, S-D., 2009 Jan 1, In : Results in Mathematics. 56, 1, p. 41-82 42 p.

Research output: Contribution to journalArticle

Maximal Surfaces
Genus
Arbitrary
Singular Point
Cone
9 Citations (Scopus)

Spacelike mean curvature one surfaces in de Sitter 3-space

Fujimori, S., Rossman, W., Umehara, M., Yamada, K. & Yang, S-D., 2009 Jul 1, In : Communications in Analysis and Geometry. 17, 3, p. 383-427 45 p.

Research output: Contribution to journalArticle

Mean Curvature
Singular Set
Subset
Constant Mean Curvature
Total curvature
2007

A remark on a mathematical formulation for system loss minimization using equal incremental loss sensitivities

Yang, S-D. & Lee, S. J., 2007 Feb 1, In : IEEE Transactions on Power Systems. 22, 1, p. 496-497 2 p.

Research output: Contribution to journalArticle

Concretes
2 Citations (Scopus)

Generalized surfaces with constant H/K in Euclidean three-space

Kim, Y. W., Koh, S. E., Shin, H. & Yang, S-D., 2007 Nov 1, In : Manuscripta Mathematica. 124, 3, p. 343-361 19 p.

Research output: Contribution to journalArticle

Euclidean
Minimal surface
Singularity
Gauss Curvature
Mean Curvature
18 Citations (Scopus)

Prescribing singularities of maximal surfaces via a singular Björling representation formula

Kim, Y. W. & Yang, S-D., 2007 Oct 1, In : Journal of Geometry and Physics. 57, 11, p. 2167-2177 11 p.

Research output: Contribution to journalArticle

Maximal Surfaces
Representation Formula
Singularity
Spacelike Surface
Gauss Map
2006
13 Citations (Scopus)

A family of maximal surfaces in Lorentz-Minkowski three-space

Kim, Y. W. & Yang, S-D., 2006 Nov 1, In : Proceedings of the American Mathematical Society. 134, 11, p. 3379-3390 12 p.

Research output: Contribution to journalArticle

Maximal Surfaces
Spacelike Surface
Singularity
Family
9 Citations (Scopus)
Costs
Reactive power
Operating costs
5 Citations (Scopus)

Spacelike constant mean curvature 1 trinoids in de Sitter three-space

Lee, S. & Yang, S-D., 2006 Dec 27, In : Osaka Journal of Mathematics. 43, 3, p. 641-663 23 p.

Research output: Contribution to journalArticle

Constant Mean Curvature
Catenoid
Spacelike Surface
Representation Formula
Spinor
2004
4 Citations (Scopus)
2001
5 Citations (Scopus)

A connected sum construction for complete minimal surfaces of finite total curvature

Yang, S-D., 2001 Jan 1, In : Communications in Analysis and Geometry. 9, 1, p. 115-167 53 p.

Research output: Contribution to journalArticle

Connected Sum
Total curvature
Minimal surface
Curvature