Algebraic theory of affine curvature tensors
Novica Blažić; Peter Gilkey; S. Nikčević; Udo Simon
Archivum Mathematicum (2006)
- Volume: 042, Issue: 5, page 147-168
- ISSN: 0044-8753
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topBlažić, Novica, et al. "Algebraic theory of affine curvature tensors." Archivum Mathematicum 042.5 (2006): 147-168. <http://eudml.org/doc/249816>.
@article{Blažić2006,
abstract = {We use curvature decompositions to construct generating sets for the space of algebraic curvature tensors and for the space of tensors with the same symmetries as those of a torsion free, Ricci symmetric connection; the latter naturally appear in relative hypersurface theory.},
author = {Blažić, Novica, Gilkey, Peter, Nikčević, S., Simon, Udo},
journal = {Archivum Mathematicum},
keywords = {algebraic curvature tensors; affine curvature tensors; algebraic curvature tensors; affine curvature tensors},
language = {eng},
number = {5},
pages = {147-168},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Algebraic theory of affine curvature tensors},
url = {http://eudml.org/doc/249816},
volume = {042},
year = {2006},
}
TY - JOUR
AU - Blažić, Novica
AU - Gilkey, Peter
AU - Nikčević, S.
AU - Simon, Udo
TI - Algebraic theory of affine curvature tensors
JO - Archivum Mathematicum
PY - 2006
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 042
IS - 5
SP - 147
EP - 168
AB - We use curvature decompositions to construct generating sets for the space of algebraic curvature tensors and for the space of tensors with the same symmetries as those of a torsion free, Ricci symmetric connection; the latter naturally appear in relative hypersurface theory.
LA - eng
KW - algebraic curvature tensors; affine curvature tensors; algebraic curvature tensors; affine curvature tensors
UR - http://eudml.org/doc/249816
ER -
References
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- Simon U., Schwenk-Schellschmidt A., Viesel H., Introduction to the affine differential geometry of hypersurfaces, Science University of Tokyo 1991. (1991) MR1200242
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- Weyl H., Zur Infinitesimalgeometrie: Einordnung der projektiven und der konformen Auffassung, Gött. Nachr. (1921), 99–112. (1921)
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