Hypersurfaces and variational formulas in sub-Riemannian Carnot groups
| Autor: | Francescopaolo Montefalcone |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2007 |
| Předmět: |
Mathematics(all)
Differential form Applied Mathematics General Mathematics Mathematical analysis 1st & 2nd variation of the H-perimeter Riemannian geometry Submanifold Measure (mathematics) Hypersurfaces Sub-Riemannian geometry symbols.namesake Hypersurface Differential geometry Carnot groups symbols Integration by parts Mathematics::Differential Geometry Carnot cycle Mathematics |
| Popis: | In this paper we study smooth immersed non-characteristic submanifolds (with or without boundary) of k-step sub-Riemannian Carnot groups, from a differential-geometric point of view. The methods of exterior differential forms and moving frames are extensively used. Particular emphasis is given to the case of hypersurfaces. We state divergence-type theorems and integration by parts formulas with respect to the intrinsic measure σ H n − 1 on hypersurfaces. General formulas for the first and the second variation of the measure σ H n − 1 are proved. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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