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- Title
Complete shrinking Ricci–Bourguignon harmonic solitons.
- Authors
Azami, Shahroud; Pirhadi, Vahid; Fasihi-Ramandi, Ghodratallah
- Abstract
Studying self-similar solutions of geometric flows on manifolds plays an important role in understanding geometrical and topological properties of underlying manifolds. In this paper, we prove that a complete shrinking Ricci–Bourguignon harmonic flow soliton ((M , g) , (N , h) , ϕ , X , ρ , λ) is compact if and only if | | X | | is bounded on M. Also, we show that a complete shrinking Ricci–Bourguignon harmonic flow soliton has finite fundamental group.
- Subjects
FINITE groups; TOPOLOGICAL property; SOLITONS; STAGNATION flow; FUNDAMENTAL groups (Mathematics); HARMONIC maps
- Publication
International Journal of Mathematics, 2022, Vol 33, Issue 6, p1
- ISSN
0129-167X
- Publication type
Article
- DOI
10.1142/S0129167X2250046X