التفاصيل البيبلوغرافية
| العنوان: |
Horosphere slab separation theorems in manifolds without conjugate points |
| المؤلفون: |
Sameh Shenawy |
| المصدر: |
Journal of the Egyptian Mathematical Society, Vol 27, Iss 1, Pp 1-6 (2019) |
| بيانات النشر: |
SpringerOpen, 2019. |
| سنة النشر: |
2019 |
| المجموعة: |
LCC:Mathematics |
| مصطلحات موضوعية: |
Horosphere separation, Slab horosphere separation, Manifolds without conjugate points, Separation of convex sets, Mathematics, QA1-939 |
| الوصف: |
Abstract Let Wn $\mathcal {W}^{n}$ be the set of smooth complete simply connected n-dimensional manifolds without conjugate points. The Euclidean space and the hyperbolic space are examples of these manifolds. Let W∈Wn $W\in \mathcal {W}^{n}$ and let A and B be two convex subsets of W. This note aims to investigate separation and slab horosphere separation of A and B. For example,sufficient conditions on A and B to be separated by a slab of horospheres are obtained. Existence and uniqueness of foot points and farthest points of a convex set A in W∈W $W\in \mathcal {W}$ are considered. |
| نوع الوثيقة: |
article |
| وصف الملف: |
electronic resource |
| اللغة: |
English |
| تدمد: |
2090-9128 |
| Relation: |
http://link.springer.com/article/10.1186/s42787-019-0038-5; https://doaj.org/toc/2090-9128 |
| DOI: |
10.1186/s42787-019-0038-5 |
| URL الوصول: |
https://doaj.org/article/e3cc4e4ad1884b449c65a414668a4ee3 |
| رقم الانضمام: |
edsdoj.3cc4e4ad1884b449c65a414668a4ee3 |
| قاعدة البيانات: |
Directory of Open Access Journals |