2014 Fiscal Year Final Research Report
Research on surface from singular view point
Project/Area Number |
24540067
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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
|
Keywords | 特異曲面 / 特異点論 |
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.
|
Free Research Field |
特異点論
|