Remark on bilinear operations on tensor fields
Archivum Mathematicum (2020)
- Volume: 056, Issue: 5, page 301-305
- ISSN: 0044-8753
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topSlovák, Jan. "Remark on bilinear operations on tensor fields." Archivum Mathematicum 056.5 (2020): 301-305. <http://eudml.org/doc/296943>.
@article{Slovák2020,
abstract = {This short note completes the results of [3] by removing the locality assumption on the operators. After providing a quick survey on (infinitesimally) natural operations, we show that all the bilinear operators classified in [3] can be characterized in a completely algebraic way, even without any continuity assumption on the operations.},
author = {Slovák, Jan},
journal = {Archivum Mathematicum},
keywords = {natural operator; tensor field; natural functional; Lie derivative},
language = {eng},
number = {5},
pages = {301-305},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Remark on bilinear operations on tensor fields},
url = {http://eudml.org/doc/296943},
volume = {056},
year = {2020},
}
TY - JOUR
AU - Slovák, Jan
TI - Remark on bilinear operations on tensor fields
JO - Archivum Mathematicum
PY - 2020
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 056
IS - 5
SP - 301
EP - 305
AB - This short note completes the results of [3] by removing the locality assumption on the operators. After providing a quick survey on (infinitesimally) natural operations, we show that all the bilinear operators classified in [3] can be characterized in a completely algebraic way, even without any continuity assumption on the operations.
LA - eng
KW - natural operator; tensor field; natural functional; Lie derivative
UR - http://eudml.org/doc/296943
ER -
References
top- Čap, Andreas, Slovák, Jan, 10.1016/0926-2245(92)90008-B, Differential Geom. Appl. 2 (1) (1992), 45–55. (1992) MR1244455DOI10.1016/0926-2245(92)90008-B
- Čap, Andreas, Slovák, Jan, 10.1007/BF00773659, Ann. Global Anal. Geom. 13 (3) (1995), 251–279. (1995) MR1344482DOI10.1007/BF00773659
- Janyška, Josef, 10.5817/AM2019-5-289, Arch. Math. (Brno) 55 (2019), 289–308. (2019) MR4057926DOI10.5817/AM2019-5-289
- Kolář, Ivan, Michor, Peter W., Slovák, Jan, Natural operations in Differential Geometry, Springer, 1993, vi+434 pp. (1993) MR1202431
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