18 citations · 72 across the 36 of their papers we have counts for
7 papers · 2 filters
Integral formulas for a metric-affine manifold with two complementary orthogonal distributions
Vladimir Rovenski
We obtain integral formulas for a metric-affine space equipped with two complementary orthogonal distributions. The integrand depends on the Ricci and mixed scalar curvatures and i…
Prescribing the mixed scalar curvature of a foliated Riemann-Cartan manifold
Vladimir Rovenski, Leonid Zelenko
The mixed scalar curvature is one of the simplest curvature invariants of a foliated Riemannian manifold. We explore the problem of prescribing the mixed scalar curvature of a foli…
Variations of the total mixed scalar curvature of a distribution
Vladimir Rovenski, Tomasz Zawadzki
We examine the total mixed scalar curvature of a fixed distribution as a functional of a pseudo-Riemannian metric. We develop variational formulas for quantities of extrinsic geome…
Integral formula for codimension-one foliated -spaces
Vladimir Rovenski
Integral formulae for foliated Riemannian manifolds provide obstructions for existence of foliations or compact leaves of them with given geometric properties. Recently, we associa…
Integral formulae for codimension-one foliated Randers spaces
Vladimir Rovenski, Paweł Walczak
Integral formulae for foliated Riemannian manifolds provide obstructions for existence of foliations or compact leaves of them with given geometric properties. This paper continues…
The Einstein-Hilbert type action on foliated pseudo-Riemannian manifolds
Vladimir Rovenski, Tomasz Zawadzki
We develop variation formulas on almost-product (e.g. foliated) pseudo-Riemannian manifolds, and we consider variations of metric preserving orthogonality of the distributions. The…
Integral formulae for codimension-one foliated Finsler manifolds
Vladimir Rovenski, Paweł Walczak
We study extrinsic geometry of a codimension-one foliation of a closed Finsler space , in particular, of a Randers space . Using a unit vector field …