A sufficient condition for the quasi Bakry-Émery curvature condition on step-two Carnot groups is established and applied to obtain gradient estimates for the heat semigroup on N_{3,2}.
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On gradient estimates of the heat semigroups on step-two Carnot groups
A sufficient condition for the quasi Bakry-Émery curvature condition on step-two Carnot groups is established and applied to obtain gradient estimates for the heat semigroup on N_{3,2}.