The Coarea Formula for Vector Functions on Carnot Groups with Sub-Lorentzian Structure

2021 ◽  
Vol 62 (2) ◽  
pp. 239-261
Author(s):  
M. B. Karmanova
Keyword(s):  
Coarea Formula ◽  
Carnot Groups ◽  
Lorentzian Structure

scholarly journals Sufficient maximality conditions for surfaces on two-step sub-lorentzian structures

2019 ◽  
Vol 485 (6) ◽  
pp. 662-666
Author(s):  
M. B. Karmanova
Keyword(s):  
Carnot Groups ◽  
Lorentzian Structure

We deduce sufficient maximality conditions for graph surfaces on two-step Carnot groups with sub-Lorentzian structure.

Area of graph surfaces on Carnot groups with sub-lorentzian structure

2019 ◽  
Vol 485 (2) ◽  
pp. 145-148
Author(s):  
M. B. Karmanova
Keyword(s):  
Carnot Groups ◽  
Area Formula ◽  
Lorentzian Structure

For graph mappings constructed from sufficiently smooth mappings of nilpotent graded groups, we prove area formula on sub-Lorentzian structures of arbitrary depth with multi-dimensional time.

scholarly journals Graphs of non-smooth contact mappings on carnot groups with sub-lorentzian structure

2019 ◽  
Vol 486 (3) ◽  
pp. 275-279
Author(s):  
M. B. Karmanova
Keyword(s):  
Carnot Groups ◽  
Area Formula ◽  
Smooth Contact ◽  
Lorentzian Structure

For classes of graph mappings constructed from CH1 -mappings of nilpotent graded groups, we prove area formula on sub-Lorentzian structures of arbitrary depth with multi-dimensional time.

Extremals in some classes of Carnot groups

2011 ◽  
Vol 55 (3) ◽  
pp. 633-646 ◽  
Author(s):  
TiRen Huang ◽  
XiaoPing Yang
Keyword(s):  
Carnot Groups
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