The Area of Graphs on Arbitrary Carnot Groups with Sub-Lorentzian Structure
М. Б. Карманова
Abstract
We prove the area formula for the classes of graph mappings on the Carnot groups and nilpotent graded groups with sub-Lorentzian structure which are of arbitrary dimension and depth. The number of spacelike and timelike directions is arbitrary as well.
Topics & Concepts
Carnot cycleMathematicsNilpotentGraphPure mathematicsDimension (graph theory)Discrete mathematicsPhysicsQuantum mechanicsGeometric Analysis and Curvature FlowsAdvanced Differential Geometry ResearchOphthalmology and Eye Disorders