On riemannian foliations with minimal leaves

Jesús A. Alvarez Lopez

Annales de l'institut Fourier (1990)

  • Volume: 40, Issue: 1, page 163-176
  • ISSN: 0373-0956

Abstract

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For a Riemannian foliation, the topology of the corresponding spectral sequence is used to characterize the existence of a bundle-like metric such that the leaves are minimal submanifolds. When the codimension is ≤ 2 , a simple characterization of this geometrical property is proved.

How to cite

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Lopez, Jesús A. Alvarez. "On riemannian foliations with minimal leaves." Annales de l'institut Fourier 40.1 (1990): 163-176. <http://eudml.org/doc/74869>.

@article{Lopez1990,
abstract = {For a Riemannian foliation, the topology of the corresponding spectral sequence is used to characterize the existence of a bundle-like metric such that the leaves are minimal submanifolds. When the codimension is $\le 2$, a simple characterization of this geometrical property is proved.},
author = {Lopez, Jesús A. Alvarez},
journal = {Annales de l'institut Fourier},
keywords = {codimension 2 foliation; codimension 1 foliation; minimal leaves; Riemannian foliation; spectral sequence; bundle-like metric},
language = {eng},
number = {1},
pages = {163-176},
publisher = {Association des Annales de l'Institut Fourier},
title = {On riemannian foliations with minimal leaves},
url = {http://eudml.org/doc/74869},
volume = {40},
year = {1990},
}

TY - JOUR
AU - Lopez, Jesús A. Alvarez
TI - On riemannian foliations with minimal leaves
JO - Annales de l'institut Fourier
PY - 1990
PB - Association des Annales de l'Institut Fourier
VL - 40
IS - 1
SP - 163
EP - 176
AB - For a Riemannian foliation, the topology of the corresponding spectral sequence is used to characterize the existence of a bundle-like metric such that the leaves are minimal submanifolds. When the codimension is $\le 2$, a simple characterization of this geometrical property is proved.
LA - eng
KW - codimension 2 foliation; codimension 1 foliation; minimal leaves; Riemannian foliation; spectral sequence; bundle-like metric
UR - http://eudml.org/doc/74869
ER -

References

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