Fiberwise linear differential operators

نویسندگان

چکیده

Abstract We define a new notion of fiberwise linear differential operator on the total space vector bundle E . Our main result is that operators are equivalent to (polynomial) derivations an appropriate line over E ? {E^{\ast}} believe this might represent first step towards definition multiplicative (resp. infinitesimally multiplicative) Lie groupoid algebroid). also discuss linearization around submanifold.

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ژورنال

عنوان ژورنال: Forum Mathematicum

سال: 2021

ISSN: ['1435-5337', '0933-7741']

DOI: https://doi.org/10.1515/forum-2021-0100