تقرير
Remarks on the generalised Calabi-Yau problem in higher codimension
| العنوان: | Remarks on the generalised Calabi-Yau problem in higher codimension |
|---|---|
| المؤلفون: | Assimos, Renan, Békési, Balázs Márk, Gentile, Giuseppe |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, 53C43, 58J65, 53C42, 53A10 |
| الوصف: | By introducing a more flexible notion of convexity, we obtain a new Omori-Yau maximum principle for harmonic maps. In the spirit of the Calabi-Yau conjectures, this principle is more suitable for studying the unboundedness of certain totally geodesic projections of minimal submanifolds of higher codimension. We further explore this maximum principle by applying it to conformal maps, harmonic maps into Cartan-Hadamard manifolds, as well as cone, wedge and halfspace theorems. Comment: 28 pages, 6 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2404.08781 |
| رقم الأكسشن: | edsarx.2404.08781 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |