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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
1362003
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
1292001
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
852009
Cut loci and distance spheres on Alexandrov surfaces
K Shiohama, M Tanaka
Séminaires & Congres, Collection SMF, 531-560, 1996
711996
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
531998
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
401992
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
332002
On the existence of infinitely many isometry-invariant geodesics
M Tanaka
Journal of Differential Geometry 17 (2), 171-184, 1982
321982
On the number of invariant closed geodesics
K Grove, M Tanaka
311978
An Isoperimetric Problem for Infinitely Connected Complete Open Surfaces (Dedicated to Professor T. Otsuki on his 70th Birthday)
K Shiohama, M Tanaka
Geometry of manifolds 8, 317, 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
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
232010
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: I
K Kondo, M Tanaka
Mathematische Annalen 351, 251-266, 2011
212011
The cut locus and distance function from a closed subset of a Finsler manifold
SV Sabau
Houston J. Math. 42 (4), 1157, 2016
202016
Compactification and maximal diameter theorem for noncompact manifolds with radial curvature bounded below
K Shiohama, M Tanaka
Mathematische Zeitschrift 241, 341-351, 2002
172002
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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