Explicit Sp(2,R)-invariant split G2 structures are constructed on two homogeneous spaces, with tau2=0 in the first family and tau1=tau2=0 in the second.
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On certain classes of $Sp(2,R)$ symmetric $G_2$ structures
Explicit Sp(2,R)-invariant split G2 structures are constructed on two homogeneous spaces, with tau2=0 in the first family and tau1=tau2=0 in the second.