2 citations · 3 across the 5 of their papers we have counts for
6 papers
Variations of metric that preserve a Riemannian submersion and geometry of its fibers
Tomasz Zawadzki
On the domain of a Riemannian submersion, we consider variations (i.e., smooth one-parameter families) of Riemannian metrics, for which the submersion is Riemannian and which all k…
Variations of the mutual curvature of two orthogonal non-complementary distributions
Vladimir Rovenski, Tomasz Zawadzki
On a smooth manifold with distributions and having trivial intersection, we consider the integral of their mutual curvature, as a functional of Riemannian…
Variational problem on a metric-affine almost product manifold
Vladimir Rovenski, Tomasz Zawadzki
We study a variational problem on a smooth manifold with a decomposition of the tangent bundle into subbundles (distributions), namely, we consider the integrated sum of thei…
The Einstein-Hilbert type action on metric-affine almost-product manifolds
Vladimir Rovenski, Tomasz Zawadzki
We continue our study of the mixed Einstein-Hilbert action as a functional of a pseudo-Riemannian metric and a linear connection. Its geometrical part is the total mixed scalar cur…
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…
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…