On the first secondary invariant of Molino's central sheaf

Jesús A. Álvarez López

Annales Polonici Mathematici (1996)

  • Volume: 64, Issue: 3, page 253-265
  • ISSN: 0066-2216

Abstract

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For a Riemannian foliation on a closed manifold, the first secondary invariant of Molino's central sheaf is an obstruction to tautness. Another obstruction is the class defined by the basic component of the mean curvature with respect to some metric. Both obstructions are proved to be the same up to a constant, and other geometric properties are also proved to be equivalent to tautness.

How to cite

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Jesús A. Álvarez López. "On the first secondary invariant of Molino's central sheaf." Annales Polonici Mathematici 64.3 (1996): 253-265. <http://eudml.org/doc/269961>.

@article{JesúsA1996,
abstract = {For a Riemannian foliation on a closed manifold, the first secondary invariant of Molino's central sheaf is an obstruction to tautness. Another obstruction is the class defined by the basic component of the mean curvature with respect to some metric. Both obstructions are proved to be the same up to a constant, and other geometric properties are also proved to be equivalent to tautness.},
author = {Jesús A. Álvarez López},
journal = {Annales Polonici Mathematici},
keywords = {foliation; taut; Riemannian foliation; tautness; central sheaf},
language = {eng},
number = {3},
pages = {253-265},
title = {On the first secondary invariant of Molino's central sheaf},
url = {http://eudml.org/doc/269961},
volume = {64},
year = {1996},
}

TY - JOUR
AU - Jesús A. Álvarez López
TI - On the first secondary invariant of Molino's central sheaf
JO - Annales Polonici Mathematici
PY - 1996
VL - 64
IS - 3
SP - 253
EP - 265
AB - For a Riemannian foliation on a closed manifold, the first secondary invariant of Molino's central sheaf is an obstruction to tautness. Another obstruction is the class defined by the basic component of the mean curvature with respect to some metric. Both obstructions are proved to be the same up to a constant, and other geometric properties are also proved to be equivalent to tautness.
LA - eng
KW - foliation; taut; Riemannian foliation; tautness; central sheaf
UR - http://eudml.org/doc/269961
ER -

References

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