SAKAI Takashi

J-GLOBAL         Last updated: Dec 4, 2009 at 00:00
 
Avatar
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)

Research Interests

 
 

Research Areas

 
 

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