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minoru tanaka
minoru tanaka
professor of mathematics, Tokai university
Verified email at tokai-u.jp
Title
Cited by
Cited by
Year
The geometry of total curvature on complete open surfaces
K Shiohama, T Shioya, M Tanaka
Cambridge University Press, 2003
1332003
The Lipschitz continuity of the distance function to the cut locus
J Itoh, M Tanaka
Transactions of the American Mathematical Society 353 (1), 21-40, 2001
1232001
Conjugate and cut loci of a two-sphere of revolution with application to optimal control
B Bonnard, JB Caillau, R Sinclair, M Tanaka
Annales de l'IHP Analyse non linéaire 26 (4), 1081-1098, 2009
862009
Cut loci and distance spheres on Alexandrov surfaces
K Shiohama, M Tanaka
Séminaires & Congres, Collection SMF, 531-560, 1996
681996
The dimension of a cut locus on a smooth Riemannian manifold
J Itoh, M Tanaka
Tohoku Mathematical Journal, Second Series 50 (4), 571-575, 1998
511998
The cut locus of a two-sphere of revolution and Toponogov's comparison theorem
R Sinclair, M Tanaka
Tohoku Mathematical Journal, Second Series 59 (3), 379-399, 2007
452007
On the cut loci of a von Mangoldt's surface of revolution
M Tanaka
Journal of the Mathematical Society of Japan 44 (4), 631-641, 1992
421992
The length function of geodesic parallel circles
K Shiohama, M Tanaka
Progress in differential geometry 22, 299-308, 1993
381993
Loki: Software for computing cut loci
R Sinclair, M Tanaka
Experimental Mathematics 11 (1), 1-25, 2002
322002
On the existence of infinitely many isometry-invariant geodesics
M Tanaka
Journal of Differential Geometry 17 (2), 171-184, 1982
311982
On the number of invariant closed geodesics
K Grove, M Tanaka
311978
An isoperimetric problem for infinitely connected complete noncompact surfaces
K Shiohama
Geometry of Manifolds, Perspectives in Math 8, 317-343, 1989
271989
On a characterization of a surface of revolution with many poles
M Tanaka
Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics …, 1992
251992
The cut locus of a torus of revolution
J Gravensen, S Markvorsen, R Sinclair, M Tanaka
222005
Total curvatures of model surfaces control topology of complete open manifolds with radial curvature bounded below. II
K Kondo, M Tanaka
Transactions of the American Mathematical Society 362 (12), 6293-6324, 2010
212010
The cut locus and distance function from a closed subset of a Finsler manifold
SV Sabau, M Tanaka
Houston J. Math 42 (4), 1157-1197, 2016
202016
Total curvatures of model surfaces control topology of complete open manifolds with radial curvature bounded below: I
K Kondo, M Tanaka
Mathematische Annalen 351, 251-266, 2011
202011
Compactification and maximal diameter theorem for noncompact manifolds with radial curvature bounded below
K Shiohama, M Tanaka
Mathematische Zeitschrift 241, 341-351, 2002
162002
Mass of rays on complete open surfaces
K Shiohama, T Shioya, M Tanaka
Pacific Journal of Mathematics 143 (2), 349-358, 1990
151990
A bound on the number of endpoints of the cut locus
R Sinclair, M Tanaka
LMS Journal of Computation and Mathematics 9, 21-39, 2006
132006
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