On Multiply Warped Product Gradient Ricci Soliton
DOI:
https://doi.org/10.15407/mag19.03.603Ключові слова:
солiтон Рiччi, викривлений добуток, множинно викривлений добутокАнотація
Метою роботи є вивчення градiєнтного солiтону Рiччi, що є множинно викривленим добутком. Ми доводимо, що коли многовид є повним, то тодi потенцiальна функцiя залежить лише вiд бази, а шар повинен бути енштейновим многовидом. Також ми наводимо необхiднi та достатнi умови для побудови градiєнтного солiтону Рiччi, що є множинно викривленим добутком.
Mathematical Subject Classification 2020: 53C24, 53C25, 53C21
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