A necessary and sufficient condition for some steady Ricci solitons to have positive asymptotic volume ratio
| 19. Sept. 2013
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Online veröffentlicht: 19. Sept. 2013
Seitenbereich: 131 - 139
DOI: https://doi.org/10.2478/auom-2013-0027
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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.