  We show that quantum geometry induces ferromagnetic fluctuation resulting in
spin-triplet superconductivity. The criterion for ferromagnetic fluctuation is
clarified by analyzing contributions from the effective mass and quantum
geometry. When the non-Kramers band degeneracy is present near the Fermi
surface, the Fubini-Study quantum metric strongly favors ferromagnetic
fluctuation. Solving the linearized gap equation with the effective interaction
obtained by the random phase approximation, we show that the spin-triplet
superconductivity is mediated by quantum-geometry-induced ferromagnetic
fluctuation.
