Riemannian foliations with parallel or harmonic basic forms
Fida El Chami; Georges Habib; Roger Nakad
Archivum Mathematicum (2015)
- Volume: 051, Issue: 1, page 51-65
- ISSN: 0044-8753
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topEl Chami, Fida, Habib, Georges, and Nakad, Roger. "Riemannian foliations with parallel or harmonic basic forms." Archivum Mathematicum 051.1 (2015): 51-65. <http://eudml.org/doc/270057>.
@article{ElChami2015,
abstract = {In this paper, we consider a Riemannian foliation that admits a nontrivial parallel or harmonic basic form. We estimate the norm of the O’Neill tensor in terms of the curvature data of the whole manifold. Some examples are then given.},
author = {El Chami, Fida, Habib, Georges, Nakad, Roger},
journal = {Archivum Mathematicum},
keywords = {Riemannian foliation; parallel and harmonic basic forms; O’Neill tensor; Riemannian foliation; parallel and harmonic basic forms; O'Neill tensor},
language = {eng},
number = {1},
pages = {51-65},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Riemannian foliations with parallel or harmonic basic forms},
url = {http://eudml.org/doc/270057},
volume = {051},
year = {2015},
}
TY - JOUR
AU - El Chami, Fida
AU - Habib, Georges
AU - Nakad, Roger
TI - Riemannian foliations with parallel or harmonic basic forms
JO - Archivum Mathematicum
PY - 2015
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 051
IS - 1
SP - 51
EP - 65
AB - In this paper, we consider a Riemannian foliation that admits a nontrivial parallel or harmonic basic form. We estimate the norm of the O’Neill tensor in terms of the curvature data of the whole manifold. Some examples are then given.
LA - eng
KW - Riemannian foliation; parallel and harmonic basic forms; O’Neill tensor; Riemannian foliation; parallel and harmonic basic forms; O'Neill tensor
UR - http://eudml.org/doc/270057
ER -
References
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