Research on surface from singular view point
Project/Area Number |
24540067
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Geometry
|
Research Institution | Saitama University |
Principal Investigator |
|
Project Period (FY) |
2012-04-01 – 2015-03-31
|
Project Status |
Completed (Fiscal Year 2014)
|
Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
|
Keywords | 特異曲面 / 特異点論 / 距離2乗関数 / 高さ関数 / 特異点 / 国際研究者交流 |
Outline of Final Research Achievements |
We investigate singular surface in the three dimensional euclidean space from singularity theory point of view. We obtain Koendrink type theorem for Whitney umbrella singularities with respect to the singularity type of their plane section. We found the contact of double point locus with the plane come to enjoy. This is an important result since it is the first step to understand the contact of singular surfaces with planes. We also obtain an asymptotic formula of principal curvature and principal direction for weighted cone singularities.
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Report
(4 results)
Research Products
(4 results)