Minoru Tanaka

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF Chat	Measurement of cesium $8\,^2P_{J}\rightarrow 6\,^2P_{J'}$ electric quadrupole transition probabilities using fluorescence spectroscopy	2024	Jing Wang Yuki Miyamoto Hideaki Hara Minoru Tanaka Motomichi Tashiro N. Sasao
+ PDF Chat	Delta‐convex structure of the singular set of distance functions	2024	Tatsuya Miura Minoru Tanaka
+	Rare Leptonic Processes Induced by Massless Dark Photon	2023	Xiaolong Deng Florentin Jaffredo Minoru Tanaka
+ PDF Chat	Generalized von Mangoldt surfaces of revolution and asymmetric two-spheres of revolution with simple cut locus structure	2022	Minoru Tanaka Toyohiro Akamatsu Robert Sinclair Masaru Yamaguchi
+	A New Family of Latitudinally Corrugated Two-spheres of Revolution with Simple Cut Locus Structure	2022	Minoru Tanaka Toyohiro Akamatsu Robert Sinclair Masaru Yamaguchi
+	Delta-convex structure of the singular set of distance functions	2022	Tatsuya Miura Minoru Tanaka
+	Generalized von Mangoldt surfaces of revolution and asymmetric two-spheres of revolution with simple cut locus structure	2022	Minoru Tanaka Toyohiro Akamatsu Rodney Sinclair Masaru Yamaguchi
+	A new family of latitudinally corrugated two-spheres of revolution with simple cut locus	2021	Minoru Tanaka Toyohiro Akamatsu Robert Sinclair Masaru Yamaguchi
+ PDF Chat	The Singular Locus of an Almost Distance Function	2020	Minoru Tanaka
+ PDF Chat	Differentiable sphere theorems whose comparison spaces are standard spheres or exotic ones	2020	Kei Kondo Minoru Tanaka
+ PDF Chat	The Length Function of Geodesic Parallel Circles	2018	Katsuhiro Shiohama Minoru Tanaka
+ PDF Chat	On the Number of Closed Geodesics and Isomertry-Invariant Geodesics	2018	Minoru Tanaka
+	The Singular Locus of an Almost Distance Function	2018	Minoru Tanaka
+ PDF Chat	Approximations of Lipschitz maps via immersions and differentiable exotic sphere theorems	2017	Kei Kondo Minoru Tanaka
+	Differentiable sphere theorems whose comparison spaces are standard spheres or exotic ones	2017	Kei Kondo Minoru Tanaka
+	On Misspecified ARMA Model Fittings to Exponential Processes	2015	Minoru Tanaka
+	A sufficient condition for a pair of bi-Lipschitz homeomorphic manifolds to be diffeomorphic and sphere theorems	2014	Kei Kondo Minoru Tanaka
+	Differentiable Exotic Sphere Theorem	2014	Kei Kondo Minoru Tanaka
+ PDF Chat	TOPOLOGY OF COMPLETE FINSLER MANIFOLDS WITH RADIAL FLAG CURVATURE BOUNDED BELOW	2014	Kei Kondo Shin‐ichi Ohta Minoru Tanaka
+	APPLICATIONS OF TOPONOGOV’S COMPARISON THEOREMS FOR OPEN TRIANGLES	2013	Kei Kondo Minoru Tanaka
+ PDF Chat	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	2013	Minoru Tanaka Kei Kondo
+	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	2013	Minoru Tanaka Kei Kondo
+	A Toponogov type triangle comparison theorem in Finsler geometry ⁄y	2012	Kei Kondo Shin‐ichi Ohta Minoru Tanaka
+	The cut locus and distance function from a closed subset of a Finsler manifold	2012	Minoru Tanaka Sorin V. Sabau
+	Total curvatures of model surfaces control topology of complete open manifolds with radial curvature bounded below, III	2012	Kei Kondo Minoru Tanaka
+	On Some Properties of ARMA(1,1) Model Fitting to AR(2) Processes	2012	Minoru Tanaka
+ PDF Chat	Sufficient conditions for open manifolds to be diffeomorphic to Euclidean spaces	2011	Kei Kondo Minoru Tanaka
+ PDF Chat	Toponogov comparison theorem for open triangles	2011	Kei Kondo Minoru Tanaka
+ PDF Chat	Total curvatures of model surfaces control topology of complete open manifolds with radial curvature bounded below: I	2010	Kei Kondo Minoru Tanaka
+ PDF Chat	Total curvatures of model surfaces control topology of complete open manifolds with radial curvature bounded below. II	2010	Kei Kondo Minoru Tanaka
+	Toponogov comparison theorem for open triangles	2009	Kei Kondo Minoru Tanaka
+	Conjugate and cut loci of a two-sphere of revolution with application to optimal control	2008	Robert Sinclair Minoru Tanaka Bernard Bonnard Jean-Baptiste Caillau
+ PDF Chat	One-parameter family of Clairaut-Liouville metrics	2007	Bernard Bonnard Jean‐Baptiste Caillau Minoru Tanaka
+ PDF Chat	The cut locus of a two-sphere of revolution and Toponogov's comparison theorem	2007	Robert Sinclair Minoru Tanaka
+	Jacobi’s last geometric statement extends to a wider class of Liouville surfaces	2006	Robert Sinclair Minoru Tanaka
+	Asymptotic order of the expected length of excursions for the processes with a Scale mixture of normal distribution, II	2006	Minoru Tanaka
+ PDF Chat	The Cut Locus of a Torus of Revolution	2005	Jens Gravensen Steen Markvorsen Robert Sinclair Minoru Tanaka
+	Asymptotic Behavior of the Expected Length of Excursions Above a Fixed Level for some Ellipsoidal Processes	2004	Minoru Tanaka Kunio Shimizu
+	The Geometry of Total Curvature on Complete Open Surfaces	2003	Katsuhiro Shiohama Takashi Shioya Minoru Tanaka
+	The poles and cut loci of a surface of revolution	2003	Katsuhiro Shiohama Takashi Shioya Minoru Tanaka
+	The classical results of Cohn-Vossen and Huber	2003	Katsuhiro Shiohama Takashi Shioya Minoru Tanaka
+	The cut loci of complete open surfaces	2003	Katsuhiro Shiohama Takashi Shioya Minoru Tanaka
+ PDF Chat	Isoperimetric inequalities	2003	Katsuhiro Shiohama Takashi Shioya Minoru Tanaka
+	The behavior of geodesics	2003	Katsuhiro Shiohama Takashi Shioya Minoru Tanaka
+	Expected number of level-crossings for a strictly stationary ellipsoidal process	2003	Kunio Shimizu Minoru Tanaka
+ PDF Chat	On Average Curvatures of Convex Curves in Surfaces	2003	Jin Lu Minoru Tanaka
+ PDF Chat	Characterization of a differentiable point of the distance function to the cut locus	2003	Minoru Tanaka
+	Compactification and maximal diameter theorem for noncompact manifolds with radial curvature bounded below	2002	Katsuhiro Shiohama Minoru Tanaka
+ PDF Chat	The Set of Poles of a Two-Sheeted Hyperboloid	2002	Robert Sinclair Minoru Tanaka
+	A Sard theorem for the distance function	2001	Jin-ichi Itoh Minoru Tanaka
+	Discrete and continuous expectation formulae for level-crossings, upcrossings and excursions of ellipsoidal processes	2001	Minoru Tanaka Kunio Shimizu
+ PDF Chat	The Lipschitz continuity of the distance function to the cut locus	2000	Jin‐ichi Itoh Minoru Tanaka
+	On the Compact Minimal Submanifold in Riemannian Manifolds	2000	Jin Lu Minoru Tanaka
+ PDF Chat	The dimension of a cut locus on a smooth Riemannian manifold	1998	Jin‐ichi Itoh Minoru Tanaka
+	CUT LOCI AND DISTANCE SPHERES ON ALEXANDROV SURFACES	1996	Katsuhiro Shiohama Minoru Tanaka
+	Some Properties of Moving-Average Model Fittings	1992	Minoru Tanaka Mituaki Huzii
+	An elementary proof of the existence of uncountably many nonclosed isometry-invariant geodesics	1991	Minoru Tanaka
+ PDF Chat	Mass of rays on complete open surfaces	1990	Katsuhiro Shiohama Takashi Shioya Minoru Tanaka
+ PDF Chat	Some Results on Additive Number Theory V	1989	Minoru Tanaka
+	Closed Geodesics on Compact Riemannian Manifolds with Infinite Fundamental Groups	1985	Minoru Tanaka
+ PDF Chat	On the existence of infinitely many isometry-invariant geodesics	1982	Minoru Tanaka
+ PDF Chat	On the Möbius and Allied Functions	1980	Minoru Tanaka
+ PDF Chat	Limitation theorems for some methods of summability	1980	Minoru Tanaka
+	On generalized Nörlund methods of summability II	1980	Minoru Tanaka
+ PDF Chat	A Numerical Investigation on Cumulative Sum of the Liouville Function	1980	Minoru Tanaka
+ PDF Chat	Some Results on Additive Number Theory III	1979	Minoru Tanaka
+	Compact Riemannian Manifolds which are Isospectral to Three Dimensional Lens Spaces II.	1979	Minoru Tanaka
+ PDF Chat	On generalized Nörlund methods of summability	1978	Minoru Tanaka
+ PDF Chat	On the number of invariant closed geodesics	1978	Karsten Grove Minoru Tanaka
+ PDF Chat	Invariant closed geodesics under isometries of prime power order	1977	Minoru Tanaka
+ PDF Chat	On invariant closed geodesics under isometries	1977	Minoru Tanaka
+ PDF Chat	On the number of invariant closed geodesics	1976	Karsten Grove Minoru Tanaka
+ PDF Chat	Some results on additive number theory, II	1976	Minoru Tanaka
+ PDF Chat	Some results on additive number theory, I	1976	Minoru Tanaka
+ PDF Chat	On the number of prime factors of integers IV	1960	Minoru Tanaka
+ PDF Chat	On the number of prime factors of integers II.	1957	Minoru Tanaka
+ PDF Chat	On the number of prime factors of integers III	1957	Minoru Tanaka
+ PDF Chat	On the Number of Prime Factors of Integers	1955	Minoru Tanaka

Common Coauthors

Coauthor	Papers Together
Kei Kondo	16
Katsuhiro Shiohama	10
Robert Sinclair	8
Takashi Shioya	7
Masaru Yamaguchi	4
Toyohiro Akamatsu	4
Kunio Shimizu	3
Bernard Bonnard	2
Karsten Grove	2
Jin Lu	2
Shin‐ichi Ohta	2
Tatsuya Miura	2
Jin‐ichi Itoh	2
Jens Gravensen	1
Steen Markvorsen	1
Robert Sinclair	1
Mituaki Huzii	1
Hideaki Hara	1
Jean‐Baptiste Caillau	1
Florentin Jaffredo	1
Sorin V. Sabau	1
Yuki Miyamoto	1
Motomichi Tashiro	1
Xiaolong Deng	1
N. Sasao	1
Jing Wang	1
Jean-Baptiste Caillau	1
Jin ichi Itoh	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The Geometry of Total Curvature on Complete Open Surfaces	2003	Katsuhiro Shiohama Takashi Shioya Minoru Tanaka	16
+ PDF Chat	The Lipschitz continuity of the distance function to the cut locus	2000	Jin‐ichi Itoh Minoru Tanaka	12
+ PDF Chat	Total curvatures of model surfaces control topology of complete open manifolds with radial curvature bounded below. II	2010	Kei Kondo Minoru Tanaka	11
+	Geodesic Parallel Coordinates in the Large	1964	Philip Hartman	11
+ PDF Chat	Total curvatures of model surfaces control topology of complete open manifolds with radial curvature bounded below: I	2010	Kei Kondo Minoru Tanaka	10
+	Riemannian geometry	1996	Takashi Sakai	10
+ PDF Chat	The Cut Locus of a Torus of Revolution	2005	Jens Gravensen Steen Markvorsen Robert Sinclair Minoru Tanaka	9
+	On the Covering of a Complete Space by the Geodesics Through a Point	1935	J. H. C. Whitehead	7
+	A Generalized Sphere Theorem	1977	Karsten Grove Katsuhiro Shiohama	7
+	Isometry-invariant geodesics	1974	Karsten Grove	7
+ PDF Chat	The cut locus of a two-sphere of revolution and Toponogov's comparison theorem	2007	Robert Sinclair Minoru Tanaka	7
+	Curvature, diameter and betti numbers	1981	Michael Gromov	7
+ PDF Chat	Condition $(C)$ for the energy integral on certain path spaces and applications to the theory of geodesics	1973	Karsten Grove	7
+ PDF Chat	Generalized space forms	2002	Neil N. Katz Kei Kondo	6
+ PDF Chat	On the Structure of Complete Manifolds of Nonnegative Curvature	1972	Jeff Cheeger Detlef Gromoll	6
+	On differentiable functions with isolated critical points	1969	Detlef Gromoll Wolfgang Meyer	6
+	Measure and integral	1977	Richard L. Wheeden Antoni Zygmund	6
+	Compactification and maximal diameter theorem for noncompact manifolds with radial curvature bounded below	2002	Katsuhiro Shiohama Minoru Tanaka	6
+ PDF Chat	Periodic geodesics on compact riemannian manifolds	1969	Detlef Gromoll Wolfgang Meyer	6
+ PDF Chat	On the Number of Prime Factors of Integers	1955	Minoru Tanaka	6
+	A Sard theorem for the distance function	2001	Jin-ichi Itoh Minoru Tanaka	5
+ PDF Chat	The dimension of a cut locus on a smooth Riemannian manifold	1998	Jin‐ichi Itoh Minoru Tanaka	5
+	Comparison Theorems in Riemannian Geometry	2008	Jeff Cheeger David G. Ebin	5
+ PDF Chat	Involution-invariant geodesics.	1975	Karsten Grove	5
+	Lebesgue's Theory of Integration: Its Origins and Development	1972	Carl B. Boyer Thomas Hawkins	5
+ PDF Chat	Generalized Toponogov’s theorem for manifolds with radial curvature bounded below	2003	Yoe Itokawa Yoshiroh Machigashira Katsuhiro Shiohama	5
+ PDF Chat	An improved Toponogov comparison theorem for nonnegatively curved manifolds	1980	Doug Elerath	5
+	The cut locus and distance function from a closed subset of a Finsler manifold	2012	Minoru Tanaka Sorin V. Sabau	5
+	The Gauss Curvature of a model surface with finite total curvature is not always bounded	2011	Minoru Tanaka Kei Kondo	5
+ PDF Chat	Decomposition of cut loci	1977	Richard L. Bishop	5
+ PDF Chat	Lower curvature bounds, Toponogov's theorem, and bounded topology	1985	Uwe Abresch	5
+	The cut loci and the conjugate loci on ellipsoids	2004	Jin‐ichi Itoh Kazuyoshi Kiyohara	5
+ PDF Chat	On the number of prime factors of integers II.	1957	Minoru Tanaka	5
+	Measure and Integral	1977	Richard L. Wheeden Richard L. Wheeden Antoni Zygmund	5
+	Toponogov comparison theorem for open triangles	2009	Kei Kondo Minoru Tanaka	4
+ PDF Chat	Characterization of a differentiable point of the distance function to the cut locus	2003	Minoru Tanaka	4
+ PDF Chat	Sur les lignes géodésiques des surfaces convexes	1905	Henri Poincaré	4
+	Homologie Singuliere Des Espaces Fibres	1951	Jean-Pierre Serre	4
+ PDF Chat	Hamilton--Jacobi Equations and Distance Functions on Riemannian Manifolds	2002	Carlo Mantegazza Andrea Mennucci	4
+	Optimization and Nonsmooth Analysis	1990	Frank H. Clarke	4
+	Über Riemannsche Mannigfaltigkeiten mit positiver Krümmung	1961	Wilhelm Klingenberg	4
+	The Gaussian Law of Errors in the Theory of Additive Number Theoretic Functions	1940	Péter L. Erdős Mark Kac	4
+	Uniform convexity and smoothness, and their applications in Finsler geometry	2008	Shin‐ichi Ohta	4
+	On Complete Open Manifolds of Positive Curvature	1969	Detlef Gromoll Wolfgang Meyer	4
+	On the iteration of closed geodesics and the sturm intersection theory	1956	Raoul Bott	4
+	CUT LOCI AND DISTANCE SPHERES ON ALEXANDROV SURFACES	1996	Katsuhiro Shiohama Minoru Tanaka	4
+ PDF Chat	Radius Sphere Theorems for Compact Manifolds with Radial Curvature Bounded Below	2007	Kei Kondo	4
+	Topology of Complete Manifolds with Radial Curvature Bounded from Below	2007	Kei Kondo Shin-ichi Ohta	4
+ PDF Chat	The Riemannian structure of Alexandrov spaces	1994	Yukio Otsu Takashi Shioya	4
+	The Cut Locus and Conjugate Locus of a Riemannian Manifold	1968	Alan Weinstein	4