SAKAI Takashi Last updated: Dec 4, 2009 at 00:00
Name
SAKAI Takashi Affiliation
Okayama University of Science Section
Faculty of Science, Department of Applied Mathematics Job title
professor Degree
Doctor fo Science(Tohoku University)
Academic & Professional Experience
1965
-
1967
Ichinoseki Technical College., Lecturer
1969
-
1972
(1972-1974) Tohoku University,
College of General Education,
Lecturer(Associate Professor)
1974
-
1976
Kyushu University, Faculty of Engineering,
Education
-
1969
Graduate School, Division of Natural Science, Tohoku University
-
1963
Mathematics, Faculty of Science, Tohoku University
Committee Memberships
-
1989
Mathematical Society of Japan trustee, commitee of recommending candidates for prizes, specialized editor of EDM
Misc
Some transformations of K-contact and normal contact Riemannian manifolds
Tohoku Math. J. 18(2) 216-224 1966
On transformations of contact Riemannian manifolds
Reports of Ichinoseki College of Tech. 1 9-13 1967
Three remarks on fundamental group of some Riemannian manifolds
Tohoku Math. J. 22(3) 249-253 1970
On closed geodesics of lens spaces
Tohoku Math. J. Correction and supplement, ibid. 23,27/3,3,403-411,319-320 1971
1971,1975
On eigenvalues of Laplacian and curvature of Riemannian manifolds,
Tohoku Math. J. 23(4) 589-603 1971
Books etc
Cut loci of compact symmetric spaces,
in "Minimal Submanifolds and Geodesics", Kaigai Pub. Tokyo, 1978
On the injectivity radius estimate by Burago-Toponogov
in "Spectra of Riemannian Manifolds", Kaigai Publ. , Tokyo, 1983
Comparison and finiteness theorems in Riemannian geometry,
in "Geometry of Geodesics and Related Topics", Advanced Studies in pure Math., Kinokuniya and North-Holland 1984
Remarks on the injectivity radius estimate for almost 1/4-pinched manifolds(joint work)
in "Curvature and Topology of Riemannian Manifolds", Lecture Notes in Math. 1986
On the isodiametric inequality for the 2-sphere,
in "Geometry of Manifolds", Perspectives in Math. Academic Press 1989
Conference Activities & Talks
Isosystolic inequality for surface of genus 2
Fukuoka Seminar on Differential Geometry (Fukuoka Univ. Seminar House) 2007
Morse theory of distance function and cut locus
Differential Equations on manifolds (Satelite Plaza of anazawa Univ.) 2006
Lines and geometry -- what is straight and what is curved
Math. Soc. of Japan Lecture for Citizens (Okayama Univ.) 2005
Distance function and cut locus of Riemannian manifold
Geometry Seminar of Wasea Univ. 2004
On Morse theory of distance function
Differential Geometry Seminar of Tsukuba Univ. 2003
Research Grants & Projects
Metric structure and Manifold Structure of Riemannian manifolds
Basic Science Research Program
Project Year: 1969
The relation between metric invariants of Riemannian manifolds (curvature, volume, diameter, distance function), and the relation of metric invariants to the manifold structure
