# The structure tensor and first order natural differential operators

Archivum Mathematicum (1992)

- Volume: 028, Issue: 3-4, page 121-138
- ISSN: 0044-8753

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topKobak, Piotr. "The structure tensor and first order natural differential operators." Archivum Mathematicum 028.3-4 (1992): 121-138. <http://eudml.org/doc/247346>.

@article{Kobak1992,

abstract = {The notion of a structure tensor of section of first order natural bundles with homogeneous standard fibre is introduced. Properties of the structure tensor operator are studied. The universal factorization property of the structure tensor operator is proved and used for classification of first order $*$-natural differential operators $\underline\{D\}:\underline\{T\times T\} \rightarrow \underline\{T\}$ for $n\ge 3$.},

author = {Kobak, Piotr},

journal = {Archivum Mathematicum},

keywords = {natural bundle; natural affine; vector bundle; natural differential operator; G-structure; structure tensor; structure tensor; -structure; first order natural bundle},

language = {eng},

number = {3-4},

pages = {121-138},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {The structure tensor and first order natural differential operators},

url = {http://eudml.org/doc/247346},

volume = {028},

year = {1992},

}

TY - JOUR

AU - Kobak, Piotr

TI - The structure tensor and first order natural differential operators

JO - Archivum Mathematicum

PY - 1992

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 028

IS - 3-4

SP - 121

EP - 138

AB - The notion of a structure tensor of section of first order natural bundles with homogeneous standard fibre is introduced. Properties of the structure tensor operator are studied. The universal factorization property of the structure tensor operator is proved and used for classification of first order $*$-natural differential operators $\underline{D}:\underline{T\times T} \rightarrow \underline{T}$ for $n\ge 3$.

LA - eng

KW - natural bundle; natural affine; vector bundle; natural differential operator; G-structure; structure tensor; structure tensor; -structure; first order natural bundle

UR - http://eudml.org/doc/247346

ER -

## References

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