On Weil Bundles of the First Order
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2016)
- Volume: 55, Issue: 1, page 151-155
- ISSN: 0231-9721
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topSultanov, Adgam Yakhievich. "On Weil Bundles of the First Order." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 55.1 (2016): 151-155. <http://eudml.org/doc/286699>.
@article{Sultanov2016,
abstract = {The descriptions of Weil bundles, lifts of functions and vector fields are given. Actions of the automorphisms group of the Whitney sum of algebras of dual numbers on a Weil bundle of the first order are defined.},
author = {Sultanov, Adgam Yakhievich},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Weil bundles; Weil algebra; smooth manifolds},
language = {eng},
number = {1},
pages = {151-155},
publisher = {Palacký University Olomouc},
title = {On Weil Bundles of the First Order},
url = {http://eudml.org/doc/286699},
volume = {55},
year = {2016},
}
TY - JOUR
AU - Sultanov, Adgam Yakhievich
TI - On Weil Bundles of the First Order
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2016
PB - Palacký University Olomouc
VL - 55
IS - 1
SP - 151
EP - 155
AB - The descriptions of Weil bundles, lifts of functions and vector fields are given. Actions of the automorphisms group of the Whitney sum of algebras of dual numbers on a Weil bundle of the first order are defined.
LA - eng
KW - Weil bundles; Weil algebra; smooth manifolds
UR - http://eudml.org/doc/286699
ER -
References
top- Vishnevsky, V. V., Shirokov, A. P., Shurygin, V. V., Spaces over Algebras, . Kazan University Press, Kazan’, 1984. (1984)
- Kolář, I., Michor, P., Slovák, J., Natural Operation in Differential Geometry, . Springer-Verlag, Berlin, 1993. (1993) MR1202431
- Weil, A., Théorie des points proches sur les variétés différentiables, . Colloque de Géometrie Différentielle, C.N.R.S. 52 (1953), 111–117. (1953) Zbl0053.24903MR0061455
- Sultanov, A. Ya., Tensor fields and connections prolongations to Weil bundles, . News of Higher Educational Institutions, Math. 9 (1999), 64–72. (1999) MR1746634
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