Can I read Closed Weingarten hypersurfaces in warped product manifolds on EtoBox?

Closed Weingarten hypersurfaces in warped product manifolds by Andrade, F.; Barbosa, J. L.; de Lira, J. H. is a scholarly article available to read on EtoBox.

What is Closed Weingarten hypersurfaces in warped product manifolds about?

Given a compact Riemannian manifold $M$, we consider a warped product $\bar M = I \times_h M$ where $I$ is an open interval in $\Rr$. We suppose that the mean curvature of the fibers do not change sign. Given a positive differentiable function $\psi$ in $\bar M$, we find a closed hypersurface $\Sigma$ which is solution of an equation of the form $F(B)=\psi$, where $B$ is the second fundamental form of $\Sigma$ and $F$ is a function satisfying certain structural properties. As examples, we may exhibit examples of hypersurfaces with prescribed higher order mean curvature.

Author

Andrade, F.; Barbosa, J. L.; de Lira, J. H.

Published

2008

Language

EN