The geometry of total curvature on complete open surfaces K Shiohama, T Shioya, M Tanaka Cambridge University Press, 2003 | 133 | 2003 |

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 | 123 | 2001 |

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 | 86 | 2009 |

Cut loci and distance spheres on Alexandrov surfaces K Shiohama, M Tanaka Séminaires & Congres, Collection SMF, 531-560, 1996 | 69 | 1996 |

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 | 51 | 1998 |

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 | 46 | 2007 |

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 | 42 | 1992 |

The length function of geodesic parallel circles K Shiohama, M Tanaka Progress in differential geometry 22, 299-308, 1993 | 38 | 1993 |

Loki: Software for computing cut loci R Sinclair, M Tanaka Experimental Mathematics 11 (1), 1-25, 2002 | 33 | 2002 |

On the existence of infinitely many isometry-invariant geodesics M Tanaka Journal of Differential Geometry 17 (2), 171-184, 1982 | 31 | 1982 |

On the number of invariant closed geodesics K Grove, M Tanaka | 31 | 1978 |

An isoperimetric problem for infinitely connected complete noncompact surfaces K Shiohama Geometry of Manifolds, Perspectives in Math 8, 317-343, 1989 | 27 | 1989 |

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 | 25 | 1992 |

The cut locus of a torus of revolution J Gravensen, S Markvorsen, R Sinclair, M Tanaka | 22 | 2005 |

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 | 21 | 2010 |

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 | 20 | 2016 |

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 | 20 | 2011 |

Compactification and maximal diameter theorem for noncompact manifolds with radial curvature bounded below K Shiohama, M Tanaka Mathematische Zeitschrift 241, 341-351, 2002 | 16 | 2002 |

Mass of rays on complete open surfaces K Shiohama, T Shioya, M Tanaka Pacific Journal of Mathematics 143 (2), 349-358, 1990 | 15 | 1990 |

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 | 13 | 2006 |