Publications - Ivan Sterling

  1. Hsiang, W.Y. and Sterling, I.: On the construction of non-equatorial minimal hyperspheres in with stable cones in , Proc Nat'l. Acad. Sci. (USA), Vol. 81, 8035-8036, Dec. 1984.

  2. Hsiang, W.Y. and Sterling, I.: Minimal cones and the spherical Bernstein problem, III. Invent. Math. 85, 223-247 (1986).

  3. Hsiang, W.T., Hsiang, W.Y. and Sterling, I.: On the construction of codimension two minimal immersions of exotic sphere, Bull. AMS, Vol. 12, No. 1, 120-124, Jan. 1985.

  4. Hsiang, W.T., Hsiang, W.Y. and Sterling, I.: On the construction of codimension two minimal immersions of exotic spheres into the unit spheres, Invent. Math. 82, 447-460 (1985).

  5. Sterling, I.: New examples of imbedded spherical soap bubbles in (1), manuscripta math. 59, 277-294 (1987).

  6. Sterling, I.: A generalization of a theorem of Delaunay to rotational W-hypersurfaces of
    -type in and
    , Pacific J. of Math., Vol. 127, No. 1, 187-197 (1987).

  7. Karcher, H., Pinkall, U. and Sterling, I.: New examples of minimal surfaces in , J. Diff. Geom. 28, 169-185 (1988).

  8. Pinkall, U. and Sterling, I.: Willmore surfaces, The Mathematical Intelligencer, Vol. 9, No. 2, 38-43 (1987).

  9. Pinkall, U. and Sterling, I.: On the classification of constant mean curvature tori, Annals of Mathematics, 129, 407-451 (1989).

  10. Sterling, I.: Constant mean curvature tori, in Geometric Analysis and Computer Graphics, Springer-Verlag, 175-180 (1991).

  11. Sterling, I.: Soliton geometry, Kac-Moody algebras and the Yang-Baxter equations, Proc. Centre Math. and Appl, Aust. Nat. Univ., Vol. 26, 1991, 225-230 (Workshop in Canberra, Sept. 1990).

  12. Pinkall, U. and Sterling, I.: Computational aspects of soap bubble deformations, AMS Proceedings, Vol. 118, No. 2, June 1993, 571-576.

  13. Ferus, D., Pedit, F., Pinkall U. and Sterling, I.: Minimal tori in , J. reine angew Math. 429, 1-47 (1992).

  14. Melko, M. and Sterling, I.: Application of Soliton Theory to the Construction of Pseudospherical Surfaces in , Annals of Glob. Anal., Vol. 11, 65-107 (1993).

  15. Sterling, I.: Willmore surfaces and computers, in Statistical Thermodyamics and Differential Geometry of Microstructured Materials, Springer-Verlag, 131-136 (1993).

  16. Melko, M. and Sterling, I.: Integrable Systems, Harmonic Maps and the Classical Theory of Surfaces, in Harmonic Maps and Integrable Systems, 129-144, Vieweg 1994. PS version of MS2

  17. Sterling, I. and Wente, H.: Existence and classification of Constant Mean Curvature Multibubbletons of Finite and Infinite Type, Indiana Univ. Math J., Vol 42, No. 4, 1239-1265 (1993).

  18. Lerner, D. and Sterling, I.: Construction of constant mean curvature surfaces using the Dorfmeister-Pedit-Wu representation of harmonic maps, Proceedings of the Symposium on Differential Geometry, Hamiltonian Systems, and Operator Theory, Univ. of the West Indies, Mona, Jamaica, Feb. 14-18 (1994), The University Printers (1995).

  19. Lerner, D. and Sterling, I.: Holomorphic Potentials, Symplectic Integrators and CMC Surfaces, in Elliptic and Parabolic Methods in Geometry, AK Peters, 73-90 (1996). DVI version of LS2 PS version of LS2

  20. Martin, G. and Sterling, I.: Visualizing Nonlinear Electrodynamics, Visualization and Mathematics - Experiments, Simulations and Environments, 37-53, Springer (1997). PS version of MS

  21. Sterling, I. and Sterling, T.: Approximating Planar Rotations, Discrete and Computational Geometry, 21:45-56 (1999). PS version of SS

  22. Sterling, I. and Sterling, T.: Two-Dimensional Image Rotation, Mathematical Visualization - Algorithms, Applications and Numerics, 195-206, Springer (1998). PS version of SS2

  23. Dorfmeister, J. and Sterling, I.: Finite Type Lorentz Harmonic Maps and the Method of Symes, Differential Geometry and Its Application, 17:43-53 (2002). DVI version of DS PS version of DS

  24. Killian, M., Schmitt, N. and Sterling, I.: Dressing CMC n-Noids, Mathematische Zeitschrift, 246:501-519 (2004). PS version of KSS

  25. Hoffman, T., Pinkall, U. and Sterling, I.: Constructing Discrete K-Surfaces, Oberwolfach Proceedings 2006. PS version of HPS

  26. Dorfmeister, Josef F., Ivey, T., and Sterling, I.: Symmetric Pseudospherical Surfaces I: General Theory, Results in Mathematics, 56:3-21 (2009). Extended Version at http://arxiv.org/abs/0907.0480v1.

  27. Kazaras, D., and Sterling, I.: An Explicit Formula for Spherical Curves with Constant Torsion, Pacific Journal of Mathematics 259-2 (2012), 361—372. http://arxiv.org/abs/1312.0140.

  28. Carroll, D., Köse, E., and Sterling, I.:Improving Frenet's Frame Using Bishop's Frame , J. of Mathematics Research, Vol 5, No 4 (2013) 97-106. http://arxiv.org/abs/1311.5857.

  29. Carroll, D., Hankins, E., Köse, E., and Sterling, I.: A Survey of the Differential Geometry of Discrete Curves, to appear in Mathematical Intelligencer. http://arxiv.org/abs/1311.5862.

  30. Dorfmesiter, Josef F., and Sterling, I.: Pseudo-spherical Surfaces of Low Differentiability, to appear in Advances in Geometry. http://arxiv.org/abs/1301.5679.

  31. Dorfmesiter, Josef F., and Sterling, I.: Minding's Theorem for Low Degrees of Differentiability, to appear in Toyko Journal of Mathematics. http://arxiv.org/abs/1306.6365.