التفاصيل البيبلوغرافية
| العنوان: |
Non-negative Ricci curvature and minimal graphs with linear growth |
| المؤلفون: |
Giulio Colombo, Eddygledson Souza Gama, Luciano Mari, Marco Rigoli |
| المساهمون: |
Colombo, Giulio, Souza Gama, Eddygledson, Mari, Luciano, Rigoli, Marco |
| سنة النشر: |
2021 |
| المجموعة: |
IRIS Università degli Studi di Napoli Federico II |
| مصطلحات موضوعية: |
Bernstein theorem, splitting, minimal graph, Ricci curvature, tangent cone |
| الوصف: |
We study minimal graphs with linear growth on complete manifolds M with Ric≥0. Under the further assumption that the (dim M−2)-th Ricci curvature in radial direction is bounded below by Cr(x)^{−2}, we prove that any such graph, if non-constant, forces tangent cones at infinity of M to split off a line. Note that M is not required to have Euclidean volume growth. We also show that M may not split off any line. Our result parallels that obtained by Cheeger, Colding and Minicozzi for harmonic functions. The core of the paper is a new refinement of Korevaar's gradient estimate for minimal graphs, together with heat equation techniques. |
| نوع الوثيقة: |
other/unknown material |
| اللغة: |
English |
| العلاقة: |
numberofpages:33; https://hdl.handle.net/11588/938689Test; https://arxiv.org/abs/2112.09886Test |
| الإتاحة: |
https://hdl.handle.net/11588/938689Test
https://arxiv.org/abs/2112.09886Test |
| حقوق: |
info:eu-repo/semantics/closedAccess |
| رقم الانضمام: |
edsbas.181B2379 |
| قاعدة البيانات: |
BASE |
