Singularities of flat fronts in hyperbolic space M Kokubu, W Rossman, K Saji, M Umehara, K Yamada
Pacific journal of mathematics 221 (2), 303-351, 2005
274 2005 The geometry of fronts K Saji, M Umehara, K Yamada
Annals of mathematics, 491-529, 2009
228 2009 Complete surfaces of constant mean curvature-1 in the hyperbolic 3-space M Umehara, K Yamada
Annals of mathematics 137 (3), 611-638, 1993
205 1993 Singularities of maximal surfaces S Fujimori, K Saji, M Umehara, K Yamada
Mathematische Zeitschrift 259 (4), 827-848, 2008
174 2008 Maximal surfaces with singularities in Minkowski space M Umehara, K Yamada
Hokkaido mathematical journal 35 (1), 13-40, 2006
151 2006 Flat fronts in hyperbolic 3-space M Kokubu, M Umehara, K Yamada
Pacific journal of mathematics 216 (1), 149-175, 2004
89 2004 A parametrization of the Weierstrass formulae and perturbation of complete minimal surfaces in R3 into the hyperbolic 3-space. M Umehara, K Yamada
Walter de Gruyter, Berlin/New York 1992 (432), 93-116, 1992
87 1992 Surfaces of constant mean curvaturec inH 3 (−c 2 ) with prescribed hyperbolic Gauss map M Umehara, K Yamada
Mathematische Annalen 304, 203-224, 1996
85 1996 Ak singlarities of wave fronts K Saji, M Umehara, K Yamada
Mathematical Proceedings of the Cambridge Philosophical Society 146 (3), 731-746, 2009
78 2009 Metrics of constant curvature 1 with three conical singularities on the -sphere M Umehara, K Yamada
Illinois Journal of Mathematics 44 (1), 72-94, 2000
74 2000 Behavior of Gaussian curvature and mean curvature near non-degenerate singular points on wave fronts LF Martins, K Saji, M Umehara, K Yamada
Geometry and Topology of Manifolds: 10th China-Japan Conference 2014, 247-281, 2016
73 2016 Flat fronts in hyperbolic 3-space and their caustics M Kokubu, W Rossman, M Umehara, K Yamada
Journal of the Mathematical Society of Japan 59 (1), 265-299, 2007
70 2007 Irreducible constant mean curvature 1 surfaces in hyperbolic space with positive genus W Rossman, M Umehara, K Yamada
Tohoku Mathematical Journal, Second Series 49 (4), 449-484, 1997
63 1997 A duality on $ CMC $-1 surfaces in hyperbolic space, and a hyperbolic analogue of the Osserman Inequality M Umehara, K Yamada
Tsukuba journal of mathematics 21 (1), 229-237, 1997
62 1997 An elementary proof of Small's formula for null curves in and an analogue for Legendrian curves in M Kokubu, M Umehara, K Yamada
51 2003 Intrinsic invariants of cross caps M Hasegawa, A Honda, K Naokawa, M Umehara, K Yamada
Selecta Mathematica 20, 769-785, 2014
49 2014 Intrinsic properties of surfaces with singularities M Hasegawa, A Honda, K Naokawa, K Saji, M Umehara, K Yamada
International Journal of Mathematics 26 (04), 1540008, 2015
47 2015 Zero mean curvature surfaces in Lorentz-Minkowski 3-space and 2-dimensional fluid mechanics S Fujimori, YW Kim, SE Koh, W Rossman, H Shin, M Umehara, K Yamada, ...
arXiv preprint arXiv:1309.2459, 2013
47 2013 Coherent tangent bundles and Gauss–Bonnet formulas for wave fronts K Saji, M Umehara, K Yamada
Journal of Geometric Analysis 22 (2), 383-409, 2012
46 2012 Differential geometry of curves and surfaces M Umehara, K Yamada
42 2017