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- W3203551723 abstract "We define a new notion of fiber-wise linear differential operator on the total space of a vector bundle $E$. Our main result is that fiber-wise linear differential operators on $E$ are equivalent to (polynomial) derivations of an appropriate line bundle over $E^ast$. We believe this might represent a first step towards a definition of multiplicative (resp. infinitesimally multiplicative) differential operators on a Lie groupoid (resp. a Lie algebroid). We also discuss the linearization of a differential operator around a submanifold." @default.
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- W3203551723 date "2021-09-25" @default.
- W3203551723 modified "2023-09-25" @default.
- W3203551723 title "Fiberwise linear differential operators" @default.
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- W3203551723 doi "https://doi.org/10.1515/forum-2021-0100" @default.
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