36 citations · 458 across the 47 of their papers we have counts for
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math.DG2020★ 2 cited
Fiber-Wise Linear Differential Operators
Fabrizio Pugliese, Giovanni Sparano, Luca Vitagliano
We define a new notion of fiber-wise linear differential operator on the total space of a vector bundle . Our main result is that fiber-wise linear differential operators on …
math.DG2020★ 3 cited
Multiplicative Connections and Their Lie Theory
Fabrizio Pugliese, Giovanni Sparano, Luca Vitagliano
We define and study multiplicative connections in the tangent bundle of a Lie groupoid. Multiplicative connections are linear connections satisfying an appropriate compatibility wi…