$\nabla $-flat functions on manifolds

Wojciech Koz/lowski

doi:10.4064/ap84-2-7

Instytut Matematyczny Polskiej Akademii Nauk / Institute of Mathematics / Publishing house / Journals and Serials / Annales Polonici Mathematici / All issues

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$\nabla$ -flat functions on manifolds

Volume 84 / 2004

Wojciech Koz/lowski Annales Polonici Mathematici 84 (2004), 177-180 MSC: 53C05, 53A15. DOI: 10.4064/ap84-2-7

Abstract

We investigate $\nabla$ -flat and pointwise- $\nabla$ -flat functions on affine and Riemannian manifolds. We show that the set of all $\nabla$ -flat functions on $(M,\nabla )$ is a ring which has interesting properties similar to the ring of polynomial functions.

Authors

Wojciech Koz/lowskiInstitute of Mathematics
Polish Academy of Sciences
/Lódź Branch
Banacha 22
90-238 /Lódź, Poland
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Search for IMPAN publications

Instytut Matematyczny Polskiej Akademii Nauk / Institute of Mathematics / Publishing house / Journals and Serials / Annales Polonici Mathematici / All issues

Annales Polonici Mathematici

\nabla -flat functions on manifolds

Volume 84 / 2004

Abstract

Authors

Search for IMPAN publications

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$\nabla$ -flat functions on manifolds