Level sets of classes of mappings of two-step Carnot groups in a nonholonomic interpretation

2017 ◽  
Vol 60 (2) ◽  
pp. 391-400
Author(s):  
M. B. Karmanova
Keyword(s):  
Level Sets ◽  
Carnot Groups

scholarly journals Local metric properties of level surfaces on Carnot–Caratheodory spaces

2019 ◽  
Vol 484 (5) ◽  
pp. 527-531
Author(s):  
M. B. Karmanova
Keyword(s):  
Level Sets ◽  
Carnot Groups ◽  
Riemannian Structure ◽  
Metric Properties ◽  
Carnot Manifolds

For level sets of -mappings of Carnot manifolds to Carnot–Caratheodory spaces, we introduce an adequate local metric characteristic. Moreover, for mappings defined on Carnot groups, we construct a special adapted basis in the preimage such that it assigns a suitable local sub-Riemannian structure on a complement of a kernel of a sub-Riemannian differential to the initial sub-Riemannian structure in the image.

Perfect level sets in many directions

1986 ◽  
Vol 12 (1) ◽  
pp. 176
Author(s):  
Malý
Keyword(s):  
Level Sets

LEVEL SETS OF A TYPICAL C n FUNCTION

1998 ◽  
Vol 24 (1) ◽  
pp. 83
Author(s):  
Darji ◽  
Morayne
Keyword(s):  
Level Sets

scholarly journals Gradient-Free Tracking of Unsteady Environmental Level Sets in Dynamic Environments by a Nonholonomic Robot

2020 ◽  
Vol 53 (2) ◽  
pp. 9256-9261
Author(s):  
Alexey Matveev ◽  
Alexander Kapitonov ◽  
Ivan Berman ◽  
Valerii Chernov
Keyword(s):  
Level Sets ◽  
Dynamic Environments ◽  
Environmental Level

scholarly journals Droplet and bubble pinch-off computations using level sets

2012 ◽  
Vol 236 (12) ◽  
pp. 3034-3041 ◽  
Author(s):  
Maria Garzon ◽  
L.J. Gray ◽  
James Sethian
Keyword(s):  
Level Sets
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