• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to project page

2016 Fiscal Year Final Research Report

An advanced study of cut locus and related topics

Research Project

  • PDF
Project/Area Number 26400072
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Geometry
Research InstitutionKumamoto University

Principal Investigator

Itoh Jin-ichi  熊本大学, 教育学部, 教授 (20193493)

Project Period (FY) 2014-04-01 – 2017-03-31
Keywords測地線 / 最小跡 / 共役跡 / 多面体
Outline of Final Research Achievements

This research of cut locus was separated 5 themaes and developed all themaes synthetically. (A) As an extension of Jacobi's last statement in general dimension, we finished the paper and submitted it. As a thread construction of quadric surface, we published the paper. (B) A main paper of series of studies of the structure of cut locus by using graph theory was published. (C) We almost finished the paper of the relation between the number of distance functions such that a point is critical and the topology of orientable surface. (D) We discussed continuous flattening of non-convex polyhedral surface by using cut locus, but we firstly got the result by the other method. (E) We published the paper constructing the Finslerian metric with fractal cut locus.

Free Research Field

幾何学

URL: 

Published: 2018-03-22  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi