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Author ID: tanaka.minoru Recent zbMATH articles by "Tanaka, Minoru"
Published as: Tanaka, Minoru; Tanaka, M.
External Links: ResearchGate · dblp
Documents Indexed: 45 Publications since 1976, including 1 Book
Co-Authors: 12 Co-Authors with 30 Joint Publications
265 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 318 times in 176 Documents Cited by Year
The Lipschitz continuity of the distance function to the cut locus. Zbl 0971.53031
Itoh, Jin-ichi; Tanaka, Minoru
44
2001
The geometry of total curvature on complete open surfaces. Zbl 1086.53056
Shiohama, Katsuhiro; Shioya, Takashi; Tanaka, Minoru
34
2003
Cut loci and distance spheres on Alexandrov surfaces. Zbl 0874.53032
Shiohama, Katsuhiro; Tanaka, Minoru
27
1996
The dimension of a cut locus on a smooth Riemannian manifold. Zbl 0939.53029
Itoh, Jin-Ichi; Tanaka, Minoru
20
1998
On the cut loci of a von Mangoldt’s surface of revolution. Zbl 0789.53023
Tanaka, Minoru
20
1992
On the existence of infinitely many isometry-invariant geodesics. Zbl 0499.53041
Tanaka, Minoru
18
1982
The cut locus of a two-sphere of revolution and Toponogov’s comparison theorem. Zbl 1158.53033
Sinclair, Robert; Tanaka, Minoru
17
2007
Conjugate and cut loci of a two-sphere of revolution with application to optimal control. Zbl 1184.53036
Bonnard, Bernard; Caillau, Jean-Baptiste; Sinclair, Robert; Tanaka, Minoru
17
2009
On the number of invariant closed geodesics. Zbl 0375.58010
Grove, Karsten; Tanaka, Minoru
13
1978
Total curvatures of model surfaces control topology of complete open manifolds with radial curvature bounded below. II. Zbl 1225.53034
Kondo, Kei; Tanaka, Minoru
12
2010
The cut locus and distance function from a closed subset of a Finsler manifold. Zbl 1358.53080
Sabau, Sorin V.; Tanaka, Minoru
10
2016
Total curvatures of model surfaces control topology of complete open manifolds with radial curvature bounded below. I. Zbl 1243.53072
Kondo, Kei; Tanaka, Minoru
8
2011
The cut locus of a torus of revolution. Zbl 1080.53005
Gravesen, Jens; Markvorsen, Steen; Sinclair, Robert; Tanaka, Minoru
8
2005
The length function of geodesic parallel circles. Zbl 0799.53052
Shiohama, Katsuhiro; Tanaka, Minoru
7
1993
Toponogov comparison theorem for open triangles. Zbl 1243.53066
Kondo, Kei; Tanaka, Minoru
7
2011
On a characterization of a surface of revolution with many poles. Zbl 0781.53034
Tanaka, Minoru
7
1992
Compactification and maximal diameter theorem for noncompact manifolds with radial curvature bounded below. Zbl 1020.53019
Shiohama, Katsuhiro; Tanaka, Minoru
6
2002
An isoperimetric problem for infinitely connected complete open surfaces. Zbl 0697.53040
Shiohama, K.; Tanaka, M.
5
1989
On the number of invariant closed geodesics. Zbl 0325.58010
Grove, Karsten; Tanaka, Minoru
5
1976
A Sard theorem for the distance function. Zbl 1046.53016
Itoh, Jin-ichi; Tanaka, Minoru
5
2001
Loki: software for computing cut loci. Zbl 1052.53001
Sinclair, Robert; Tanaka, Minoru
5
2002
Mass of rays on complete open surfaces. Zbl 0731.53044
Shiohama, K.; Shioya, T.; Tanaka, M.
5
1990
A bound on the number of endpoints of the cut locus. Zbl 1111.53004
Sinclair, Robert; Tanaka, Minoru
4
2006
Jacobi’s last geometric statement extends to a wider class of Liouville surfaces. Zbl 1124.53015
Sinclair, Robert; Tanaka, Minoru
3
2006
Approximations of Lipschitz maps via immersions and differentiable exotic sphere theorems. Zbl 1368.49053
Kondo, Kei; Tanaka, Minoru
3
2017
On invariant closed geodesics under isometries. Zbl 0364.58014
Tanaka, Minoru
3
1977
Characterization of a differentiable point of the distance function to the cut locus. Zbl 1037.53022
Tanaka, Minoru
3
2003
Compact Riemannian manifolds which are isospectral to three dimensional lens spaces. II. Zbl 0436.53046
Tanaka, Minoru
2
1979
Total curvatures of model surfaces control topology of complete open manifolds with radial curvature bounded below. III. Zbl 1246.53055
Kondo, Kei; Tanaka, Minoru
2
2012
The topology of an open manifold with radial curvature bounded from below by a model surface with finite total curvature and examples of model surfaces. Zbl 1266.53041
Tanaka, Minoru; Kondo, Kei
2
2013
Invariant closed geodesics under isometries of prime power order. Zbl 0426.58007
Tanaka, Minoru
1
1977
The set of poles of a two-sheeted hyperboloid. Zbl 1052.53002
Sinclair, Robert; Tanaka, Minoru
1
2002
An elementary proof of the existence of uncountably many nonclosed isometry-invariant geodesics. Zbl 0736.53045
Tanaka, Minoru
1
1991
Closed geodesics on compact Riemannian manifolds with infinite fundamental groups. Zbl 0581.53034
Tanaka, Minoru
1
1985
On the compact minimal submanifold in Riemannian manifolds. Zbl 0978.53110
Lu, Jin; Tanaka, Minoru
1
2000
Topology of complete Finsler manifolds with radial flag curvature bounded below. Zbl 1319.53082
Kondo, Kei; Ohta, Shin-ichi; Tanaka, Minoru
1
2014
Approximations of Lipschitz maps via immersions and differentiable exotic sphere theorems. Zbl 1368.49053
Kondo, Kei; Tanaka, Minoru
3
2017
The cut locus and distance function from a closed subset of a Finsler manifold. Zbl 1358.53080
Sabau, Sorin V.; Tanaka, Minoru
10
2016
Topology of complete Finsler manifolds with radial flag curvature bounded below. Zbl 1319.53082
Kondo, Kei; Ohta, Shin-ichi; Tanaka, Minoru
1
2014
The topology of an open manifold with radial curvature bounded from below by a model surface with finite total curvature and examples of model surfaces. Zbl 1266.53041
Tanaka, Minoru; Kondo, Kei
2
2013
Total curvatures of model surfaces control topology of complete open manifolds with radial curvature bounded below. III. Zbl 1246.53055
Kondo, Kei; Tanaka, Minoru
2
2012
Total curvatures of model surfaces control topology of complete open manifolds with radial curvature bounded below. I. Zbl 1243.53072
Kondo, Kei; Tanaka, Minoru
8
2011
Toponogov comparison theorem for open triangles. Zbl 1243.53066
Kondo, Kei; Tanaka, Minoru
7
2011
Total curvatures of model surfaces control topology of complete open manifolds with radial curvature bounded below. II. Zbl 1225.53034
Kondo, Kei; Tanaka, Minoru
12
2010
Conjugate and cut loci of a two-sphere of revolution with application to optimal control. Zbl 1184.53036
Bonnard, Bernard; Caillau, Jean-Baptiste; Sinclair, Robert; Tanaka, Minoru
17
2009
The cut locus of a two-sphere of revolution and Toponogov’s comparison theorem. Zbl 1158.53033
Sinclair, Robert; Tanaka, Minoru
17
2007
A bound on the number of endpoints of the cut locus. Zbl 1111.53004
Sinclair, Robert; Tanaka, Minoru
4
2006
Jacobi’s last geometric statement extends to a wider class of Liouville surfaces. Zbl 1124.53015
Sinclair, Robert; Tanaka, Minoru
3
2006
The cut locus of a torus of revolution. Zbl 1080.53005
Gravesen, Jens; Markvorsen, Steen; Sinclair, Robert; Tanaka, Minoru
8
2005
The geometry of total curvature on complete open surfaces. Zbl 1086.53056
Shiohama, Katsuhiro; Shioya, Takashi; Tanaka, Minoru
34
2003
Characterization of a differentiable point of the distance function to the cut locus. Zbl 1037.53022
Tanaka, Minoru
3
2003
Compactification and maximal diameter theorem for noncompact manifolds with radial curvature bounded below. Zbl 1020.53019
Shiohama, Katsuhiro; Tanaka, Minoru
6
2002
Loki: software for computing cut loci. Zbl 1052.53001
Sinclair, Robert; Tanaka, Minoru
5
2002
The set of poles of a two-sheeted hyperboloid. Zbl 1052.53002
Sinclair, Robert; Tanaka, Minoru
1
2002
The Lipschitz continuity of the distance function to the cut locus. Zbl 0971.53031
Itoh, Jin-ichi; Tanaka, Minoru
44
2001
A Sard theorem for the distance function. Zbl 1046.53016
Itoh, Jin-ichi; Tanaka, Minoru
5
2001
On the compact minimal submanifold in Riemannian manifolds. Zbl 0978.53110
Lu, Jin; Tanaka, Minoru
1
2000
The dimension of a cut locus on a smooth Riemannian manifold. Zbl 0939.53029
Itoh, Jin-Ichi; Tanaka, Minoru
20
1998
Cut loci and distance spheres on Alexandrov surfaces. Zbl 0874.53032
Shiohama, Katsuhiro; Tanaka, Minoru
27
1996
The length function of geodesic parallel circles. Zbl 0799.53052
Shiohama, Katsuhiro; Tanaka, Minoru
7
1993
On the cut loci of a von Mangoldt’s surface of revolution. Zbl 0789.53023
Tanaka, Minoru
20
1992
On a characterization of a surface of revolution with many poles. Zbl 0781.53034
Tanaka, Minoru
7
1992
An elementary proof of the existence of uncountably many nonclosed isometry-invariant geodesics. Zbl 0736.53045
Tanaka, Minoru
1
1991
Mass of rays on complete open surfaces. Zbl 0731.53044
Shiohama, K.; Shioya, T.; Tanaka, M.
5
1990
An isoperimetric problem for infinitely connected complete open surfaces. Zbl 0697.53040
Shiohama, K.; Tanaka, M.
5
1989
Closed geodesics on compact Riemannian manifolds with infinite fundamental groups. Zbl 0581.53034
Tanaka, Minoru
1
1985
On the existence of infinitely many isometry-invariant geodesics. Zbl 0499.53041
Tanaka, Minoru
18
1982
Compact Riemannian manifolds which are isospectral to three dimensional lens spaces. II. Zbl 0436.53046
Tanaka, Minoru
2
1979
On the number of invariant closed geodesics. Zbl 0375.58010
Grove, Karsten; Tanaka, Minoru
13
1978
On invariant closed geodesics under isometries. Zbl 0364.58014
Tanaka, Minoru
3
1977
Invariant closed geodesics under isometries of prime power order. Zbl 0426.58007
Tanaka, Minoru
1
1977
On the number of invariant closed geodesics. Zbl 0325.58010
Grove, Karsten; Tanaka, Minoru
5
1976
all top 5

Cited by 202 Authors

18 Tanaka, Minoru
12 Itoh, Jin-ichi
11 Kondo, Kei-Ichi
9 Shiohama, Katsuhiro
8 Bonnard, Bernard
8 Rifford, Ludovic
8 Vîlcu, Costin
7 Innami, Nobuhiro
7 Shioya, Takashi
7 Sinclair, Robert
6 Figalli, Alessio
5 Boscain, Ugo
5 Caillau, Jean-Baptiste
5 Crasta, Graziano
4 Charlot, Grégoire
4 Grove, Karsten
4 Uneme, Yuya
4 Villani, Cédric
3 Ghezzi, Roberta
3 Halperin, Stephen
3 Jouan, Philippe
3 Mazzucchelli, Marco
3 Sabau, Sorin Vasile
2 Angulo Ardoy, Pablo
2 Ayala, Victor
2 Cannarsa, Piermarco
2 Cardaliaguet, Pierre
2 Chruściel, Piotr Tadeusz
2 Fragalà, Ilaria
2 Fu, Joseph Howland Guthrie
2 Galloway, Gregory J.
2 Giorgieri, Elena
2 Guijarro, Luis
2 Holler, Martin
2 Itokawa, Yoe
2 Kiyohara, Kazuyoshi
2 Kuribayashi, Katsuhiko
2 Kurogi, Tetsunori
2 Lu, Guangcun
2 Malusa, Annalisa
2 Mashiko, Yukihiro
2 Mennucci, Andrea Carlo Giuseppe
2 Nagano, Tetsuya
2 Rademacher, Hans-Bert
2 Shcherbakova, Nataliya
2 Sigalotti, Mario
2 Soga, Toshiro
2 Sugny, Dominique
2 Tian, Gang
2 Viaclovsky, Jeff A.
2 Waters, Thomas J.
2 Weinmann, Andreas
2 Yamaguchi, Takao
1 Absil, Pierre-Antoine
1 Agrachev, Andreĭ Aleksandrovich
1 Alencar, Hilário
1 Alexander, Stephanie B.
1 Allais, Simon
1 Alves, Marcelo R. R.
1 Anderson, Michael T.
1 Angulo, Pablo
1 Balch, Brenden
1 Bangert, Victor
1 Barilari, Davide
1 Berti, Luca
1 Bianchini, Bruno
1 Bourni, Theodora
1 Brandenbursky, Michael
1 Bredies, Kristian
1 Buijs, Urtzi
1 Carlotto, Alessandro
1 Castelpietra, Marco
1 Castillon, Philippe
1 Chen, Hui Zhao
1 Chitsakul, Pakkinee
1 Choi, Hyeong In
1 Colding, Tobias Holck
1 Cots, Olivier
1 Dahinden, Lucas
1 De Philippis, Guido
1 Di Cristo, Michele
1 Dillen, Franki
1 Eltzner, Benjamin
1 Enomoto, Kazuyuki
1 Erb, Wolfgang
1 Espinar, José María
1 Facca, Enrico
1 Fassò, Francesco
1 Félix, Yves
1 Fernández Pérez, José Luis
1 Fox, Logan S.
1 Franz, Giada
1 Freitas, Pedro
1 Galaz-Garcia, Fernando
1 Gallouët, Thomas O.
1 Gaye, Moussa
1 Générau, François
1 Ghomi, Mohammad
1 Goldstein, Paweł
1 Gorbovickis, Igors
...and 102 more Authors
all top 5

Cited in 86 Serials

12 Tôhoku Mathematical Journal. Second Series
8 Transactions of the American Mathematical Society
7 Advances in Mathematics
7 Mathematische Annalen
7 Differential Geometry and its Applications
5 Journal of the Mathematical Society of Japan
5 Calculus of Variations and Partial Differential Equations
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Acta Mathematica
4 Geometriae Dedicata
4 Tokyo Journal of Mathematics
4 Nihonkai Mathematical Journal
3 Journal of Geometry and Physics
3 Duke Mathematical Journal
3 Nagoya Mathematical Journal
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Discrete & Computational Geometry
3 Communications in Partial Differential Equations
3 Experimental Mathematics
2 Communications on Pure and Applied Mathematics
2 Annales de l’Institut Fourier
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Archiv der Mathematik
2 Manuscripta Mathematica
2 Osaka Journal of Mathematics
2 Proceedings of the American Mathematical Society
2 Topology and its Applications
2 The Journal of Geometric Analysis
2 Discrete and Continuous Dynamical Systems
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Communications in Mathematical Physics
1 Discrete Mathematics
1 General Relativity and Gravitation
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Mathematics of Computation
1 Anais da Academia Brasileira de Ciências
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Publications Mathématiques
1 Inventiones Mathematicae
1 Journal of Differential Equations
1 Journal of Differential Geometry
1 Journal of Functional Analysis
1 Journal of Geometry
1 Journal of Pure and Applied Algebra
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Pacific Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Proceedings of the London Mathematical Society. Third Series
1 SIAM Journal on Control and Optimization
1 Annals of Global Analysis and Geometry
1 Revista Matemática Iberoamericana
1 Forum Mathematicum
1 Computational Geometry
1 Geometric and Functional Analysis. GAFA
1 SIAM Journal on Mathematical Analysis
1 Bulletin of the American Mathematical Society. New Series
1 Expositiones Mathematicae
1 Journal of Mathematical Imaging and Vision
1 Applied and Computational Harmonic Analysis
1 NoDEA. Nonlinear Differential Equations and Applications
1 Annals of Mathematics. Second Series
1 LMS Journal of Computation and Mathematics
1 Journal of Dynamical and Control Systems
1 Communications in Contemporary Mathematics
1 Annales Henri Poincaré
1 Advances in Geometry
1 Algebraic & Geometric Topology
1 Mediterranean Journal of Mathematics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Kodai Mathematical Seminar Reports
1 Journal of Fixed Point Theory and Applications
1 Acta Mathematica Sinica. Chinese Series
1 Inverse Problems and Imaging
1 SIAM Journal on Imaging Sciences
1 Kyoto Journal of Mathematics
1 Journal of Spectral Theory
1 Mathematical Control and Related Fields
1 Arnold Mathematical Journal
1 Journal of Applied and Computational Topology

Citations by Year