تقرير
Closed Weingarten hypersurfaces in warped product manifolds
| العنوان: | Closed Weingarten hypersurfaces in warped product manifolds |
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| المؤلفون: | Andrade, F., Barbosa, J. L., de Lira, J. H. |
| سنة النشر: | 2008 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, Mathematics - Analysis of PDEs, 53C42, 35J60 |
| الوصف: | 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. Comment: Paper accepted to publication in Indiana University Mathematics Journal |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/0810.3306 |
| رقم الأكسشن: | edsarx.0810.3306 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |