Papers

  • Classification
    • zbMATH
      • 17 Differential geometry (53-XX)
      • 3 Global analysis, analysis on manifolds (58-XX)
      • 1 Algebraic geometry (14-XX)
      • 1 Functions of a complex variable (30-XX)
      • 1 Functions of several complex variables and analytic spaces (32-XX)
      • 1 Quantum Theory (81-XX)
    • Mathematical Review
      • 17 Differential geometry (53-XX)
      • 3 Global analysis, analysis on manifolds (58-XX)
      • 2 Functions of a complex variable (30-XX)
      • 2 Calculus of variations and optimal control; optimization (49-XX)
      • 1 Algebraic geometry (14-XX)
      • 1 Functions of a complex variable (30-XX)
      • 1 Potential theory (31-XX)
  • Journals
    • 1 Israel Journal of Mathematics
    • 1 Bulletin of the London Mathematical Society
    • 1 Osaka Journal of Mathematics
    • 1 Proceedings of the American Mathematical Society
    • 1 Tokyo Journal of Mathematics
    • 1 Tsukuba Journal of Mathematics
    • 1 Annals of Global Analysis and Geometry
    • 1 Differential Geometry and its Applications
    • 1 Advances in Applied Clifford Algebras
    • 1 Journal of Mathematical Sciences. University of Tokyo
    • 1 Geometry
  • For recent papers, please visit https://sites.google.com/site/qcdgrg/papers
  • Unpublished papers
    • 守屋, 克洋 . 四次元共形球面内の共形曲面と四元数的正則構造 (Conformal surfaces in the four dimensional conformal sphere and quaternionic holomorphic structures) (Japanese), 日本数学会２００９年度年会幾何学分科会特別講演アブストラクト [pdf]
  • Published papers
    • Moriya, Katsuhiro, A factorization of a super-conformal map, arXiv:1208.5274, Israel J. Math. Volume 207, Issue 1 , pp 331-359. doi: 10.1007/s11856-015-1176-6 Zbl 06451115
    • Moriya, Katsuhiro, Darboux transforms of a harmonic inverse mean curvature surface. Geometry, vol. 2013, Article ID 902092, 9 pages, 2013. [doi:10.1155/2013/902092].
    • Moriya, Katsuhiro, Simple factor dressing of a minimal surface, RIMS kokyuroku 1817, 6--10, Nov 2012. [pdf].
      • p.2, just before Section 3: add `otherewise it is a conformal diffeomorphism.
      • p.3, Theorem 2 is expected to be hold.
      • p.4, Thorem5: ...... associated Wilmore surface of a member f^{p,q} of the assocuated family.
    • Moriya, Katsuhiro, Description of a mean curvature sphere of a surface by quaternionic holomorphic geometry, RIMS kokyuroku 1817, 1--5, Nov 2012. [pdf].
    • Zbl 1250.53062 Kurosu, Sanae; Moriya, Katsuhiro A tt*-bundle associated with a harmonic map from a Riemann surface into a sphere. Differential geometry and its applications 30 (2012) 227-232, doi:10.1016/j.difgeo.2012.04.003, [TULIPS]
    • Zbl 1257.53013 Moriya, Katsuhiro A condition for a closed one-form to be exact. Advances in applied Clifford algebra, Volume 22, Number 2 (2012), 433-448, DOI: 10.1007/s00006-011-0313-5 [TULIPS]
    • MR2648488 (2011f:53132), Zbl 1239.53078 Moriya, Katsuhiro Quotients of quaternionic holomorphic sections. Riemann surfaces, harmonic maps and visualization, 197–201, OCAMI Stud., 3, Osaka Munic. Univ. Press, Osaka, 2010.[pdf]
    • 守屋, 克洋 . 複素ユークリッド平面内のラグランジュ曲面の面積についての不等 (An inequality for the area of a Lagrangian surface of the complex Euclidean plane) (Japanese), Surikaisekikenkyusho Kokyuroku No. 1623 (2009), 30--34 [KURENAI]
    • MR2496508 (2010a:53115), Zbl 1162.53045 Moriya, Katsuhiro Super-conformal surfaces associated with null complex holomorphic curves. Bull. Lond. Math. Soc. 41 (2009), no. 2, 327–331. doi: 10.1112/blms/bdp005, Oxford Journal [abstract] [pdf].
    • 守屋, 克洋 . 複素平面内のラグランジュ曲面の分数表示 (The quotient representation of Lagrangian surfaces in the complex Euclidean plane) (Japanese), 数理解析研究所講究録１５７７, 2008, pp36--44. [pdf],[KURENAi]
    • MR2415175 (2009c:53116), Zbl 1156.53052 Moriya, Katsuhiro The denominators of Lagrangian surfaces in complex Euclidean plane. Ann. Global Anal. Geom. 34 (2008), no. 1, 1--20. SpringerLink [abstract], Tulips-R [abstract], [pdf]
    • 守屋, 克洋 . Minimizing sequences for the Willmore functional and quaternions (Japanese), 数理解析研究所講究録１５2７, 2007, pp128--134. [pdf],[KURENAI]
    • MR2248287 (2007c:53011), Zbl 1123.53010 Moriya, Katsuhiro A space of minimal tori with one end and cyclic symmetry. Tsukuba J. Math. 30 (2006), no. 1, 131--135. [TULIPS]
    • MR2013507 (2004m:53014) Kenmotsu, Katsuei . Surfaces with constant mean curvature. Translated from the 2000 Japanese original by Katsuhiro Moriya and revised by the author. Translations of Mathematical Monographs, 221. American Mathematical Society, Providence, RI, 2003. x+142 pp. ISBN: 0-8218-3479-7, AMS BookStore [book page], [Additional Material for the Book]
    • MR1929050 (2003g:53013), Zbl 1011.53007 Moriya, Katsuhiro. Existence of algebraic minimal surfaces for an arbitrary puncture set. Proc. Amer. Math. Soc. 131 (2003), no. 1, 303--307 (electronic). DOI: 10.1090/S0002-9939-02-06670-4, Proceedins of the American Mathematical Society [abstract] [pdf]
    • MR1981784 守屋, 克洋 . 回転対称性を持つ極小曲面のモデュライ空間 (Moduli spaces of minimal surfaces with rotational symmetry). (Japanese) General study on Riemannian submanifolds (Japanese) (Kyoto, 2002). Surikaisekikenkyusho Kokyuroku No. 1292 (2002), 12--19. [KURENAI]
    • MR1884860 (2004a:53008), Zbl 1090.53501 Moriya, Katsuhiro A moduli space of minimal annuli. Geometry, integrability and quantization (Varna, 2001), 360--368, Coral Press Sci. Publ., Sofia, 2002. ELibM [pdf]
    • MR1833620 (2002i:53014), Zbl 1086.53009 Moriya, Katsuhiro On a moduli space of minimal annuli. Osaka J. Math. 38 (2001), no. 2, 271--285. Project Euclid [pdf]
    • MR1824608 (2002b:53006), Zbl 0989.53002 Moriya, Katsuhiro Existence of a family of complete minimal surfaces of genus one with one end and finite total curvature. Differential geometry (Sakado, 2001), 149--154, Josai Math. Monogr., 3, Josai Univ., Sakado, 2001. [pdf]
    • MR1768468 (2001i:53015), Zbl 0971.53006 Moriya, Katsuhiro On a variety of minimal surfaces invariant under a screw motion. J. Math. Sci. Univ. Tokyo 7 (2000), no. 2, 311--323. [abstract] [pdf]
    • MR1759588, Zbl 0957.53500 Moriya, Katsuhiro Minimal annulusのモデュライ空間の全実構造について (Totally real structures of moduli spaces of a minimal annului). (Japanese) Minimal surfaces and related topics (Kyoto, 1999). Surikaisekikenkyusho Kokyuroku No. 1113 (1999), 35--43.[KURENAI]
    • MR1708907 (2000i:53013), Zbl 0978.53015 Moriya, Katsuhiro On a variety of Weierstrass data for branched minimal surfaces in Euclidean space. Differential geometry and applications (Brno, 1998), 207--213, Masaryk Univ., Brno, 1999. [abstract] [dvi] [ps]
    • MR1668255 (2000a:53012), Zbl 0959.53006 Moriya, Katsuhiro A family of Weierstrass data on branched minimal surfaces in Euclidean space. (Japanese) Geometry of homogeneous spaces and submanifolds (Japanese) (Kyoto, 1998). Surikaisekikenkyusho Kokyuroku No. 1044 (1998), 63--75.[KURENAI]
    • MR1630151 (99h:53010), Zbl 0958.53008 Moriya, Katsuhiro. On a variety of algebraic minimal surfaces in Euclidean $4$-space. Tokyo J. Math. 21 (1998), no. 1, 121--134.