Existence of immovability lines of a partial mapping of Euclidean space E5
It is considered a set of smooth lines such that through a point X ∈ Ω passed one line of given set in domain Ω ⊂ E5. The moving frame is frame of Frenet for the line ω1 of the given set. Integral lines of the vector fields are formed net ∑5 of Frenet. There exists a point on the tangent of th...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IOP Publishing
2019
|
| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/29805/1/Existence%20of%20immovability%20lines%20of%20a%20partial%20mapping%20of%20Euclidean%20space.pdf http://umpir.ump.edu.my/id/eprint/29805/ https://doi.org/10.1088/1742-6596/1366/1/012060 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | It is considered a set of smooth lines such that through a point X ∈ Ω passed one line of given set in domain Ω ⊂ E5. The moving frame is frame of Frenet for the line ω1 of the given set. Integral lines of the vector fields are formed net ∑5 of Frenet. There exists a point on the tangent of the line ∑5. When a point X is shifted in the domain Ω the point describes it's domain in E5. It is defined the partial mapping , such that . Necessary and sufficient conditions of immovability and degeneration of lines and in partial mapping are obtained. |
|---|