تقرير
Projectively induced K\'ahler cones over regular Sasakian manifolds
| العنوان: | Projectively induced K\'ahler cones over regular Sasakian manifolds |
|---|---|
| المؤلفون: | Marini, Stefano, Tardini, Nicoletta, Zedda, Michela |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, Mathematics - Complex Variables, 53C25, 32H02, 53C42, 32Q20 |
| الوصف: | Motivated by a conjecture in [9] we prove that the K\"ahler cone over a regular complete Sasakian manifold is Ricci-flat and projectively induced if and only if it is flat. We also obtain that, up to $\mathcal D_a$-homothetic transformations, K\"ahler cones over homogeneous compact Sasakian manifolds are projectively induced. As main tool we provide a relation between the K\"ahler potentials of the transverse K\"ahler metric and of the cone metric. Comment: 13 pages. Minor revisions in the second version |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2311.18754 |
| رقم الأكسشن: | edsarx.2311.18754 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |