تقرير
Two variational problems in K\'ahler geometry
| العنوان: | Two variational problems in K\'ahler geometry |
|---|---|
| المؤلفون: | Lempert, Laszlo |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Complex Variables, Mathematics - Differential Geometry, Mathematics - Metric Geometry, 32Q15, 32U05, 32W20, 52A40, 58E40 |
| الوصف: | On a K\"ahler manifold we consider the problems of maximizing/minimizing Monge--Amp\`ere energy over certain subsets of the space of K\"ahler potentials. Under suitable assumptions we prove that solutions to these variational problems exist, are unique, and have a simple characterization. We then use the extremals to construct hermitian metrics on holomorphic vector bundles, and investigate their curvature. Comment: Welcome |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.00869 |
| رقم الأكسشن: | edsarx.2405.00869 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |