List of Publications

Preprints

  1. Peter Connor, Shoichi Fujimori, Phillip Marmorino, and Toshihiro Shoda,
    Genus three embedded doubly periodic minimal surfaces with parallel ends,
    preprint. arXiv:2105.10711 [math.DG] (July 29, 2023 version).

Papers

  1. Shoichi Fujimori, Yu Kawakami, and Masatoshi Kokubu,
    Surfaces with concentric or parallel K-contours,
    Journal of Geometry, 115 (2024), Paper No. 20, 12 pp. arXiv:2404.13650 [math.DG] (April 21, 2024 version).
  2. Shoichi Fujimori and Shin Kaneda,
    Higher genus nonorientable maximal surfaces in the Lorentz-Minkowski 3-space,
    Tohoku Mathematical Journal, 75 (2023), 1--14. arXiv:2106.13941 [math.DG] (September 9, 2021 version).
  3. Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu, Wayne Rossman, Masaaki Umehara, Kotaro Yamada, and Seong-Deog Yang,
    Analytic extensions of constant mean curvature one geometric catenoids in de Sitter 3-space,
    Differential Geometry and its Applications, 84 (2022), 101924, 35pp. arXiv:2011.06757 [math.DG] (July 6, 2022 version).
  4. Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu, Wayne Rossman, Masaaki Umehara, and Kotaro Yamada,
    Analytic extension of exceptional constant mean curvature one catenoids in de Sitter 3-space,
    Mathematical Journal of Okayama University, 62 (2020), 179--195. arXiv:1507.06695 [math.DG] (July 9, 2018 version).
  5. Norio Ejiri, Shoichi Fujimori, and Toshihiro Shoda,
    A construction of a two-parameter family of triply periodic minimal surfaces,
    Kobe Journal of Mathematics, 35 (2018), 45--83. [pdf file (482 KB)].
  6. Shoichi Fujimori,
    Triply periodic zero mean curvature surfaces in Lorentz-Minkowski 3-space,
    Advanced Studies in Pure Mathematics, 78 (2018), 201--219. arXiv:1703.06600 [math.DG] (March 20, 2017 version).
  7. Norio Ejiri, Shoichi Fujimori, and Toshihiro Shoda,
    On limits of triply periodic minimal surfaces,
    Annali di Matematica Pura ed Applicata, 197 (2018), 1739--1748. [pdf file (322 KB)].
  8. Shoichi Fujimori, Udo Hertrich-Jeromin, Masatoshi Kokubu, Masaaki Umehara, and Kotaro Yamada,
    Quadrics and Scherk towers,
    Monatshefte für Mathematik, 186 (2018), 249--279. arXiv:1701.02134 [math.DG] (January 9, 2017 version).
  9. Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu, Wayne Rossman, Masaaki Umehara, and Kotaro Yamada,
    Analytic extension of Jorge-Meeks type maximal surfaces in Lorentz-Minkowski 3-space,
    Osaka Journal of Mathematics, 54 (2017), 249--272. arXiv:1509.05853 [math.DG] (September 19, 2015 version).
  10. Shoichi Fujimori, Samah Gaber Mohamed, and Mason Pember,
    Maximal surfaces in Minkowski 3-space with non-trivial topology and corresponding CMC 1 surfaces in de Sitter 3-space,
    Kobe Journal of Mathematics, 33 (2016), 1--12. [pdf file (159 KB)].
  11. Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu, Wayne Rossman, Masaaki Umehara, and Kotaro Yamada,
    Entire zero mean curvature graphs of mixed type in Lorentz-Minkowski 3-space,
    The Quarterly Journal of Mathematics, 67 (2016), 801--837. arXiv:1511.07954 [math.DG] (November 26, 2015 version).
  12. Shoichi Fujimori and Toshihiro Shoda,
    Minimal surfaces with two ends which have the least total absolute curvature,
    Pacific Journal of Mathematics, 282 (2016), 107--144. arXiv:1509.1509.06021 [math.DG] (September 21, 2015 version).
  13. Norio Ejiri, Shoichi Fujimori, and Toshihiro Shoda,
    A remark on limits of triply periodic minimal surfaces of genus 3,
    Topology and its Applications, 196 (2015), 880--903. [pdf file (885 KB)].
  14. Shoichi Fujimori, Masayuki Noro, Kentaro Saji, Takeshi Sasaki, and Masaaki Yoshida,
    Schwarz maps for the hypergeometric differential equation,
    International Journal of Mathematics, 26 (2015), 1541002, 31 pp. [pdf file (570 KB)].
  15. Shoichi Fujimori,
    Computer graphics in minimal surface theory,
    Mathematical Progress in Expressive Image Synthesis II, Mathematics for Industry 18, Springer (2015), 9--18. [pdf file (148 KB)].
  16. Shoichi Fujimori, Young Wook Kim, Sung-Eun Koh, Wayne Rossman, Heayong Shin, Masaaki Umehara, Kotaro Yamada, and Seong-Deog Yang,
    Zero mean curvature surfaces in Lorentz-Minkowski 3-space which change type across a light-like line,
    Osaka Journal of Mathematics, 52 (2015), 285--297. arXiv:1211.4912 [math.DG] (July 12, 2013 version).
  17. Shoichi Fujimori, Young Wook Kim, Sung-Eun Koh, Wayne Rossman, Heayong Shin, Masaaki Umehara, Kotaro Yamada, and Seong-Deog Yang,
    Zero mean curvature surfaces in Lorentz-Minkowski 3-space and 2-dimensional fluid mechanics,
    Mathematical Journal of Okayama University, 57 (2015), 173--200. arXiv:1309.2459 [math.DG] (September 10, 2013 version).
  18. Shoichi Fujimori, Wayne Rossman, Masaaki Umehara, Kotaro Yamada, and Seong-Deog Yang,
    Embedded triply periodic zero mean curvature surfaces of mixed type in Lorentz-Minkowski 3-space,
    Michigan Mathematical Journal, 63 (2014), 189--207. arXiv:1302.4315 [math.DG] (February 18, 2013 version).
  19. Shoichi Fujimori and Toshihiro Shoda,
    A family of complete minimal surfaces of finite total curvature with two ends,
    Differential Geometry of Submanifolds and its Related Topics, World Scientific (2013), 19--31.
  20. Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu, Wayne Rossman, Masaaki Umehara, and Kotaro Yamada,
    Hyperbolic metrics on Riemann surfaces and spacelike CMC-1 surfaces in de Sitter 3-space,
    Recent Trends in Lorentzian Geometry, Springer Proceedings in Mathematics & Statistics, 26 (2013), 1--47.
  21. Shoichi Fujimori, Young Wook Kim, Sung-Eun Koh, Wayne Rossman, Heayong Shin, Hidenobu Takahashi, Masaaki Umehara, Kotaro Yamada, and Seong-Deog Yang,
    Zero mean curvature surfaces in L3 containing a light-like line,
    Comptes Reudus de l'Académie Sciences, Série I, Mathématique, 350 (2012), 975--978.
  22. Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu, Wayne Rossman, Masaaki Umehara, and Kotaro Yamada,
    CMC-1 trinoids in hyperbolic 3-space and metrics of constant curvature one with conical singularities on the 2-sphere,
    Proceedings of the Japan Academy, Series A, 87 (2011), 144--149. arXiv:1008.3734 [math.DG] (August 17, 2011 version).
  23. Shoichi Fujimori and Francisco J. López,
    Nonorientable maximal surfaces in the Lorentz-Minkowski 3-space,
    Tohoku Mathematical Journal, 62 (2010), 311--328. arXiv:0905.2113 [math.DG] (February 12, 2010 version).
  24. Shoichi Fujimori and Wayne Rossman,
    Higher-genus mean curvature-one catenoids in hyperbolic and de Sitter 3-spaces,
    Kyushu Journal of Mathematics, 64 (2010), 169--180. arXiv:0904.3988 [math.DG] (February 25, 2010 version).
  25. Shoichi Fujimori and Matthias Weber,
    A construction method for triply periodic minimal surfaces,
    OCAMI Studies, 3 (2009), 79--90.
  26. Shoichi Fujimori, Wayne Rossman, Masaaki Umehara, Kotaro Yamada, and Seong-Deog Yang,
    New maximal surfaces in Minkowski 3-space with arbitrary genus and their cousins in de Sitter 3-space,
    Results in Mathematics, 56 (2009), 41--82. arXiv:0910.2768 [math.DG] (October 15, 2009 version).
  27. Shoichi Fujimori, Wayne Rossman, Masaaki Umehara, Kotaro Yamada, and Seong-Deog Yang,
    Spacelike mean curvature one surfaces in de Sitter 3-space,
    Communications in Analysis and Geometry, 17 (2009), 383--427. arXiv:0706.0973 [math.DG] (May 4, 2009 version).
  28. Shoichi Fujimori and Matthias Weber,
    Triply periodic minimal surfaces bounded by vertical symmetry planes,
    Manuscripta Mathematica, 129 (2009), 29--53. arXiv:0805.3095 [math.DG] (May 21, 2008 version).
  29. Shoichi Fujimori, Kentaro Saji, Masaaki Umehara, and Kotaro Yamada,
    Singularities of maximal surfaces,
    Mathematische Zeitschrift, 259 (2008), 827--848. math.DG/0510366 (August 31, 2007 version).
  30. Shoichi Fujimori,
    Spacelike mean curvature 1 surfaces of genus 1 with two ends in de Sitter space,
    Kyushu Journal of Mathematics, 61 (2007), 1--20. math.DG/0605550 (May 19, 2006 version).
  31. Shoichi Fujimori and Toshihiro Shoda,
    Triply periodic minimal surfaces of genus 4,
    Electronic Geometry Models, 2005.10.001 (2006).
  32. Shoichi Fujimori,
    Spacelike CMC 1 surfaces with elliptic ends in de Sitter 3-Space,
    Hokkaido Mathematical Journal, 35 (2006), 289--320. math.DG/0408036 (July 14, 2005 version).
  33. Shoichi Fujimori,
    Spacelike mean curvature one surfaces in de Sitter 3-space,
    doctoral thesis, Kobe University (2006), iv+93 pp. [pdf file (1,488 KB)].
  34. Shoichi Fujimori,
    Minimal surfaces in Euclidean 3-space and their mean curvature 1 cousins in hyperbolic 3-space,
    Anais da Academia Brasileira de Ciências, 75 (2003), 271--278.

Surveys

  1. Shoichi Fujimori,
    Computer graphics and minimal surfaces,
    MI Lecture Notes, 58 (2014), 36--42.
  2. Shoichi Fujimori, Shimpei Kobayashi, and Wayne Rossman,
    Loop group methods for constant mean curvature surfaces,
    Rokko Lectures in Mathematics, 17 (2005), v+118 pp.