Abstract We deal with a wide class of nonlinear integro-differential problems in the Heisenberg-Weyl group $$\mathbb {H}^n$$ Hn , whose prototype is Dirichlet problem for p -fractional subLaplace equation. These arise many different contexts quantum mec...

In this paper, the classification of left invariant Riemannian metrics on cotangent bundle (2n+1)-dimensional Heisenberg group up to action automorphism is presented. Moreover, it proved that complex structure unique, and corresponding pseudo-Kähler are described shown be Ricci flat. It known algebra admits an ad-invariant metric neutral signature. Here, uniqueness such proved.