Divergence of Multivector Fields on Infinite-Dimensional Manifolds

نویسندگان

چکیده

We study the property of divergence multivector fields on Banach manifolds with Radon measure. propose an infinite-dimensional version consistent classical from finite-dimensional differential geometry. Further, we transfer certain natural properties operator to setting. Finally, relation between divM a manifold M and divS submanifold S ⊂ M.

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ژورنال

عنوان ژورنال: Ukrainian Mathematical Journal

سال: 2023

ISSN: ['0041-5995', '1573-9376']

DOI: https://doi.org/10.1007/s11253-023-02175-w