Abstract
In this paper, we show that a complete shrinking general Ricci flow soliton system \((M,g,H,X,u,\lambda)\) with condition \(h\geq0\) is compact if and only if \(||X|| \) is bounded on \(M\), where \(h\) is the 2-form with components \(h_{ij}=\frac{1}{2}H_{ikl}H_{j}^{kl}\). We also prove that a complete shrinking general Ricci flow system soliton has finite fundamental group.
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This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.
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Azami, S. Complete Shrinking General Ricci Flow Soliton Systems. Math Notes 114, 675–678 (2023). https://doi.org/10.1134/S0001434623110044
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DOI: https://doi.org/10.1134/S0001434623110044