8 citations · 19 across the 13 of their papers we have counts for
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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…
The mixed Yamabe problem for harmonic foliations
Vladimir Rovenski, Leonid Zelenko
The mixed scalar curvature of a foliated Riemannian manifold, i.e., an averaged mixed sectional curvature, has been considered by several geometers. We explore the Yamabe type prob…
The mixed scalar curvature flow and harmonic foliations
Vladimir Rovenski, Leonid Zelenko
We introduce and study the flow of metrics on a foliated Riemannian manifold , whose velocity along the orthogonal distribution is proportional to the mixed scalar curvature…
The mixed scalar curvature flow on a fiber bundle
Vladimir Rovenski, Leonid Zelenko
We apply conformal flows of metrics restricted to the orthogonal distribution of a foliation to study the question: Which foliations admit a metric such that the leaves are tot…
On surfaces with a prescribed curvilinear projection of one field of principal directions
Vladimir Rovenski, Leonid Zelenko
A class of surfaces-graphs in a Riemannian 3-space with a prescribed projection of one field of principal directions onto a surface is considered. A problem of determination of…