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4 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…
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…
Quasi-classical generalized CRF structures
Izu Vaisman
In an earlier paper, we studied manifolds endowed with a generalized F structure , skew-symmetric with respect to the pairing metric, such that $Φ^3+Φ=…