Curvature tensors and Singer invariants of four-dimensional homogeneous spaces

Yuki Kiyota; Kazumi Tsukada

Commentationes Mathematicae Universitatis Carolinae (1999)

  • Volume: 40, Issue: 4, page 723-733
  • ISSN: 0010-2628

Abstract

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We show that the Singer invariant of a four-dimensional homogeneous space is at most .

How to cite

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Kiyota, Yuki, and Tsukada, Kazumi. "Curvature tensors and Singer invariants of four-dimensional homogeneous spaces." Commentationes Mathematicae Universitatis Carolinae 40.4 (1999): 723-733. <http://eudml.org/doc/248407>.

@article{Kiyota1999,
abstract = {We show that the Singer invariant of a four-dimensional homogeneous space is at most $1$.},
author = {Kiyota, Yuki, Tsukada, Kazumi},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {homogeneous spaces; Singer invariant; locally homogeneous Riemannian space; Singer invariant; subspace of curvature tensors},
language = {eng},
number = {4},
pages = {723-733},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Curvature tensors and Singer invariants of four-dimensional homogeneous spaces},
url = {http://eudml.org/doc/248407},
volume = {40},
year = {1999},
}

TY - JOUR
AU - Kiyota, Yuki
AU - Tsukada, Kazumi
TI - Curvature tensors and Singer invariants of four-dimensional homogeneous spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1999
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 40
IS - 4
SP - 723
EP - 733
AB - We show that the Singer invariant of a four-dimensional homogeneous space is at most $1$.
LA - eng
KW - homogeneous spaces; Singer invariant; locally homogeneous Riemannian space; Singer invariant; subspace of curvature tensors
UR - http://eudml.org/doc/248407
ER -

References

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