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Two characterization of BV functions on Carnot groups via the heat semigroup
Functions of bounded variation perimeters Carnot groups Heat semigroup
2011/9/15
Abstract: In this paper we provide two different characterizations of sets with finite perimeter and functions of bounded variation in Carnot groups, analogous to those which hold in Euclidean spaces,...
Algebraic characterization of simple closed curves via Turaev's cobracket
surfaces conjugacy classes Lie algebras intersection number
2010/12/6
The vector space V generated by the conjugacy classes in the funda-mental group of an orientable surface has a natural Lie cobracket : V −→ V × V.For negatively curved surfaces, can be compu...