Report
A note on gradient Ricci soliton warped metrics
| العنوان: | A note on gradient Ricci soliton warped metrics |
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| المؤلفون: | Gomes, José N. V., Marrocos, Marcus A. M., Ribeiro, Adrian V. C. |
| المصدر: | Mathematische Nachrichten 294 (2021) 1879-1888 |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, 53C21, 53C25, 53C15 |
| الوصف: | In this note, we prove triviality and nonexistence results for gradient Ricci soliton warped metrics. The proofs stem from the construction of gradient Ricci solitons that are realized as warped products, from which we know that the base spaces of these products are Ricci-Hessian type manifolds. We study this latter class of manifolds as the most appropriate setting to prove our results. Comment: 12 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1002/mana.202000271 |
| URL الوصول: | http://arxiv.org/abs/2109.09870 |
| رقم الانضمام: | edsarx.2109.09870 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1002/mana.202000271 |
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