Note on Signature of Trident Mechanisms with Distribution Growth Vector (4,7)

2019 ◽  
pp. 82-89
Author(s):  
Stanislav Frolík
Keyword(s):  
Growth Vector

scholarly journals TEACHER`S CREATIVE COMPETENCE AS A NEW GROWTH VECTOR OF EDUCATION

2019 ◽  
Vol 13 (3) ◽  
pp. 309-320
Author(s):  
I. E. Bryakova ◽  
Keyword(s):  
Growth Vector

The structure of abnormal extremals in a sub-Riemannian problem with growth vector $(2, 3, 5, 8)$

2020 ◽  
Vol 211 (10) ◽  
pp. 1460-1485
Author(s):  
Yu. L. Sachkov ◽  
E. F. Sachkova
Keyword(s):  
Abnormal Extremals ◽  
Growth Vector

Degenerate abnormal trajectories in a sub-Riemannian problem with growth vector (2, 3, 5, 8)

2017 ◽  
Vol 53 (3) ◽  
pp. 352-365 ◽  
Author(s):  
Yu. L. Sachkov ◽  
E. F. Sachkova
Keyword(s):  
Growth Vector

The growth vector in trace fossils: Examples from the Lower Cambrian of Norway

Ichnos ◽  
1991 ◽  
Vol 1 (4) ◽  
pp. 261-276 ◽  
Author(s):  
Richard G. Bromley ◽  
Nils‐Martin Hanken
Keyword(s):  
Lower Cambrian ◽  
Trace Fossils ◽  
Growth Vector

scholarly journals Sub-Riemannian (2, 3, 5, 6)-Structures

2021 ◽  
Author(s):  
Yu. L. Sachkov ◽  
E. F. Sachkova
Keyword(s):  
Normal Form ◽  
Normal Forms ◽  
Carnot Groups ◽  
Growth Vector ◽  
Lie Coalgebra ◽  
Casimir Functions

Abstract We describe all Carnot algebras with growth vector (2, 3, 5, 6), their normal forms, an invariant that separates them, and a change of basis that transforms such an algebra into a normal form. For each normal form, Casimir functions and symplectic foliations on the Lie coalgebra are computed. An invariant and normal forms of left-invariant (2, 3, 5, 6)-distributions are described. A classification, up to isometries, of all left-invariant sub-Riemannian structures on (2, 3, 5, 6)-Carnot groups is obtained.

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