∇-flat functions on manifolds

Wojciech Kozłowski

Annales Polonici Mathematici (2004)

  • Volume: 84, Issue: 2, page 177-180
  • ISSN: 0066-2216

Abstract

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

How to cite

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Wojciech Kozłowski. "∇-flat functions on manifolds." Annales Polonici Mathematici 84.2 (2004): 177-180. <http://eudml.org/doc/281096>.

@article{WojciechKozłowski2004,
abstract = {We investigate ∇-flat and pointwise-∇-flat functions on affine and Riemannian manifolds. We show that the set of all ∇-flat functions on (M,∇) is a ring which has interesting properties similar to the ring of polynomial functions.},
author = {Wojciech Kozłowski},
journal = {Annales Polonici Mathematici},
keywords = {affine connection; Levi-Civita connection; -flat functions},
language = {eng},
number = {2},
pages = {177-180},
title = {∇-flat functions on manifolds},
url = {http://eudml.org/doc/281096},
volume = {84},
year = {2004},
}

TY - JOUR
AU - Wojciech Kozłowski
TI - ∇-flat functions on manifolds
JO - Annales Polonici Mathematici
PY - 2004
VL - 84
IS - 2
SP - 177
EP - 180
AB - We investigate ∇-flat and pointwise-∇-flat functions on affine and Riemannian manifolds. We show that the set of all ∇-flat functions on (M,∇) is a ring which has interesting properties similar to the ring of polynomial functions.
LA - eng
KW - affine connection; Levi-Civita connection; -flat functions
UR - http://eudml.org/doc/281096
ER -

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