Wayne ROSSMAN

Wayne ROSSMAN

Department of Mathematics,
Graduate School of Science, Kobe University
Division : Geometry
Professor		 Building B, Room 420

Personal Website
Research Field : Surface theory
Research Summary : Using notions of smooth surface theory in differential geometry, I conduct research on discrete and semi-discrete surface theory. In addition to differential geometric methods, tools from integrable systems and analysis and differential equations are used. Prominent types of surfaces in this research are constant mean curvature surfaces, flat surfaces, linear Weingarten surfaces and Omega surfaces. An approach using conserved quantities of flat connections associated with isothermic surfaces is also employed.
Primary Publications :
  1. F. Burstall, U. Hertrich-Jeromin and W. Rossman, Discrete linear Weingarten surfaces, to appear in Nagoya Math J.
  2. S. Fujimori, Y. Kawakami, M. Kokubu, W. Rossman, M. Umehara and K Yamada, Entire zero-mean curvature graphs of mixed type in Lorentz-Minkowski 3-space, Quart. J. Math. 67 (2016), 801-837
  3. F. Burstall, U. Hertrich-Jeromin, C. Muller and W. Rossman, Semi-discrete isothermic surfaces, Geom. Dedicata 183 (2016), 43-58.
  4. F. Burstall, U. Hertrich-Jeromin, W. Rossman and S. Santos, Discrete special isothermic surfaces, Geom. Dedicata 174 (2015), 1-11.
  5. S. Fujimori, W. Rossman, M. Umehara, K. Yamada and S.-D. Yang, Embedded triply periodic zero mean curvature surfaces of mixed type in Lorentz-Minkowski 3-space, Michigan Math. J. 63 (2014), no. 1, 189-207.
  6. Discrete flat surfaces and linear Weingarten surfaces in hyperbolic 3-space (with T. Hoffmann, T. Sasaki and M. Yoshida). Trans. A.M.S. 364 (2012), 5605-5644.
  7. Lie geometry of linear Weingarten surfaces (with U. Hertrich-Jeromin and F. Burstall). Comptes Rendus, Acad. Sci. Paris, Ser. I 350 (2012), 413-416.
  8. Lie geometry of flat fronts in hyperbolic space (with U. Hertrich-Jeromin and F. Burstall). Comptes Rendus, Acad. Sci. Paris, Ser. I 348 (2010), 661-664.
  9. New maximal surfaces in Minkowski 3-space with arbitrary genus and their cousins in de Sitter 3-space (with S. Fujimori, M. Umehara, K. Yamada and S-D. Yang). Result. Math. 56 (2009), 41-82.
  10. Spacelike mean curvature one surfaces in de Sitter 3-space (with S. Fujimori, M. Umehara, K. Yamada and S-D. Yang). Comm. Anal. Geom. 17(3) (2009), 383-427.