Minimal graphic functions on manifolds of non-negative Ricci curvature
| العنوان: | Minimal graphic functions on manifolds of non-negative Ricci curvature |
|---|---|
| المؤلفون: | Ding, Qi, Jost, J., Xin, Y. L. |
| سنة النشر: | 2013 |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, Mathematics - Analysis of PDEs, Differential Geometry (math.DG), FOS: Mathematics, Mathematics::Differential Geometry, Analysis of PDEs (math.AP) |
| الوصف: | We study minimal graphic functions on complete Riemannian manifolds $\Si$ with non-negative Ricci curvature, Euclidean volume growth and quadratic curvature decay. We derive global bounds for the gradients for minimal graphic functions of linear growth only on one side. Then we can obtain a Liouville type theorem with such growth via splitting for tangent cones of $\Si$ at infinity. When, in contrast, we do not impose any growth restrictions for minimal graphic functions, we also obtain a Liouville type theorem under a certain non-radial Ricci curvature decay condition on $\Si$. In particular, the borderline for the Ricci curvature decay is sharp by our example in the last section. 38 pages |
| اللغة: | English |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0714ba2fc6a1ec297c519c9bc22d42cfTest http://arxiv.org/abs/1310.2048Test |
| حقوق: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....0714ba2fc6a1ec297c519c9bc22d42cf |
| قاعدة البيانات: | OpenAIRE |
| الوصف غير متاح. |