Geometric Structures in Bundlesof Associative Algebras

Igor M. Burlakov

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2016)

  • Volume: 55, Issue: 1, page 27-30
  • ISSN: 0231-9721

Abstract

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The article deals with bundles of linear algebra as a specifications of the case of smooth manifold. It allows to introduce on smooth manifold a metric by a natural way. The transfer of geometric structure arising in the linear spaces of associative algebras to a smooth manifold is also presented.

How to cite

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Burlakov, Igor M.. "Geometric Structures in Bundlesof Associative Algebras." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 55.1 (2016): 27-30. <http://eudml.org/doc/286698>.

@article{Burlakov2016,
abstract = {The article deals with bundles of linear algebra as a specifications of the case of smooth manifold. It allows to introduce on smooth manifold a metric by a natural way. The transfer of geometric structure arising in the linear spaces of associative algebras to a smooth manifold is also presented.},
author = {Burlakov, Igor M.},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Geometric structures; bundles of linear algebra; vector bundles on smooth manifolds},
language = {eng},
number = {1},
pages = {27-30},
publisher = {Palacký University Olomouc},
title = {Geometric Structures in Bundlesof Associative Algebras},
url = {http://eudml.org/doc/286698},
volume = {55},
year = {2016},
}

TY - JOUR
AU - Burlakov, Igor M.
TI - Geometric Structures in Bundlesof Associative Algebras
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2016
PB - Palacký University Olomouc
VL - 55
IS - 1
SP - 27
EP - 30
AB - The article deals with bundles of linear algebra as a specifications of the case of smooth manifold. It allows to introduce on smooth manifold a metric by a natural way. The transfer of geometric structure arising in the linear spaces of associative algebras to a smooth manifold is also presented.
LA - eng
KW - Geometric structures; bundles of linear algebra; vector bundles on smooth manifolds
UR - http://eudml.org/doc/286698
ER -

References

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  1. Vishnevsky, V. V., Shirokov, A. P., Shurigin, V. V., Spaces over Algebras, . Kazan University, Kazan, 1965. (1965) 
  2. Dubrovin, B. A., Novikov, S. P., Fomenko, A. T., Modern Geometry, . Nauka, Moscow, 1978. (1978) 
  3. Penrose, R., Rindler, W., Spinors and Space-time, . Mir, Moscow, 1987. (1987) Zbl0663.53013MR0908073

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