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Isometric actions of Heisenberg groups on compact Lorentz manifolds     Heisenberg groupsl  Lorentz manifolds       font style='font-size:12px;'> 2015/10/14
We prove results toward classifying compact Lorentz manifolds on which Heisenberg groups act isometrically. We give a general construction, leading to a new example, of codimension-one actions—those...
A note on Freiman models in Heisenberg groups     Freiman models  Heisenberg groups  Number Theory       font style='font-size:12px;'> 2012/7/11
Green and Ruzsa recently proved that for any $s\ge2$, any small squaring set $A$ in a (multiplicative) abelian group, i.e. $|A\cdot A|s a Freiman $s$-model: it means that there exists a grou...
This paper deal with the problem of Sobolev imbedding in the critical cases. We prove some Trudinger-type inequalities on the whole Heisenberg group, extending to this context the Euclidean results by...
In this paper we study singular integrals on small (that is, measure zero and lower than full dimensional) subsets of metric groups. The main examples of the groups we have in mind are Euclidean space...
In this paper we give an intimate connection between the characteristic zero representation theories of the Additive and Heisenberg groups, and their characteristic p >0 theories when p is much larger...

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