Generalized Riemann minimal surfaces examples in three-dimensional manifolds products
Hauswirth, L.
Original · EN
In this paper, we construct and classify minimal surfaces foliated by horizontal constant curvature curves in product manifolds M ×, where M is the hyperbolic plane, the Euclidean plane or the two dimensional sphere. The main tool is the existence of a Jacobi field which characterize the property to be foliated in circles and geodesics in these product manifolds. It is related to harmonic maps.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.