18 citations · 72 across the 36 of their papers we have counts for
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math.DG2013★ 4 cited
The partial Ricci flow on one-dimensional foliations
Vladimir Rovenski, Vladimir Sharafutdinov
A flow of metrics, , on a manifold is a solution of a differential equation $\dt g = S(g)$, where a geometric functional is a symmetric -tensor usually related t…
math.DG2013
Euclidean hypersurfaces with a totally geodesic foliation of codimension one
M. Dajczer, V. Rovenski, R. Tojeiro
We classify the hypersurfaces of Euclidean space that carry a totally geodesic foliation with complete leaves of codimension one. In particular, we show that rotation hypersurfaces…
math.DG2013★ 1 cited
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…