A necessary and sufficient condition for some steady Ricci solitons to have positive asymptotic volume ratio
| 19 set 2013
INFORMAZIONI SU QUESTO ARTICOLO
Pubblicato online: 19 set 2013
Pagine: 131 - 139
DOI: https://doi.org/10.2478/auom-2013-0027
Parole chiave
This content is open access.
In this paper, we firstly establish a useful ODE relationship between R1(c) and V1(c) on the steady Ricci soliton. Based on this, we obtain a necessary and sufficient condition for some complete noncompact steady gradient Ricci solitons to have positive asymptotic volume ratio.