P. Nurowski

activity

20002009

most citedDeforming a Lie algebra by means of a two form

17 citations · 63 across the 15 of their papers we have counts for

collaborators

Showing 2006Show all

4 papers · 1 filter

math.DG2006★ 17 cited

Deforming a Lie algebra by means of a two form

Pawel Nurowski

We consider a vector space V over K=R or C, equipped with a skew symmetric bracket [.,.]: V x V --> V and a 2-form omega:V x V --> K. A simple change of the Jacobi identity to the…

math.DG2006

Construction of conjugate functions

Pawel Nurowski

We find all pairs of real analytic functions $f$ and $g$ in $R^{n}$ such that $∣\nabla f ∣ = ∣\nabla g ∣$ and $(\nabla f) (\nabla g) = 0$ .

math.DG2006★ 1 cited

Special Riemannian geometries modeled on distinguished symmetric spaces

Pawel Nurowski

We propose studies of special Riemannian geometries with structure groups $H_{1} = S O (3) \subset S O (5)$ , $H_{2} = S U (3) \subset S O (8)$ , $H_{3} = S p (3) \subset S O (14)$ and $H_{4} = F_{4} \subset S O (26)$ …

math.DG2006

Distinguished dimensions for special Riemannian geometries

Pawel Nurowski

The paper is based on relations between a ternary symmetric form defining the SO(3) geometry in dimension five and Cartan's works on isoparametric hypersurfaces in spheres. As obse…