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4 papers · 2 filters
Hessian geometry on Lagrange spaces
Izu Vaisman
We extend the correspondence between Hessian and Kähler metrics and curvatures to Lagrange spaces.
Counting isotropic tangent lines of hypersurfaces
Sergei Lanzat
Consider the standard symplectic $(\RR^{2n}, ω_0)$, a point $p\in\RR^{2n}$ and an immersed closed orientable hypersurface $Σ\subset\RR^{2n}\minus\{p\}$, all in general position. We…
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…
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…