We report in the present talk recent results of the tensor properties of the nucleon within the framework of the chiral quark-soliton model. The tensor and anomalous tensor magnetic form factors are calculated for the momentum transfer up to and at a renormalization scale of . The main results are summarized as follows: the flavor tensor charges of the nucleon are yielded as , $\delta d=-0.31\delta s=-0.01$, while the up and down anomalous tensor magnetic moments are evaluated as and , respectively. The strange anomalous tensor magnetic moment turns out to be , compatible with zero. We discuss their physical implications, comparing them in particular with those from the lattice QCD.

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