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@inproceedings{55595,
author = {Smetanová, Dana},
address = {ČR},
booktitle = {Mathematics, Information Technologies and Applied Sciences 2017},
edition = {Mathematics, Information Tec},
editor = {Jaromír Baštinec and Miroslav Hrubý},
keywords = {Lagrangian; Legendre transformation; regularity; Hamilton equations},
howpublished = {elektronická verze "online"},
language = {eng},
location = {ČR},
isbn = {978-80-7582-026-6},
pages = {217-225},
publisher = {University of Defence, Brno},
title = {Affine Lagrangians in Second Order Field Theory},
url = {https://apps.webofknowledge.com/full_record.do?product=WOS&search_mode=GeneralSearch&qid=27&SID=D4APZzmak3s6mYxbR3d&page=1&doc=1},
year = {2017}
}
TY - JOUR
ID - 55595
AU - Smetanová, Dana
PY - 2017
TI - Affine Lagrangians in Second Order Field Theory
PB - University of Defence, Brno
CY - ČR
SN - 9788075820266
KW - Lagrangian
KW - Legendre transformation
KW - regularity
KW - Hamilton equations
UR - https://apps.webofknowledge.com/full_record.do?product=WOS&search_mode=GeneralSearch&qid=27&SID=D4APZzmak3s6mYxbR3d&page=1&doc=1
L2 - https://apps.webofknowledge.com/full_record.do?product=WOS&search_mode=GeneralSearch&qid=27&SID=D4APZzmak3s6mYxbR3d&page=1&doc=1
N2 - In this paper we consider the extension of the classical Hamilton - Cartan variation theory to fibrous varieties. It is known that in field theory, we can assign various Hamiltonian equations corresponding to the Lepage equivalents of Lagrangian to the variational problem represented by Lagrangian. The case of affine Lagrangians in the second derivatives is studied using differential geometry tools. A new condition of regularity and strong regularity and Legendre's transformation are found.
ER -
SMETANOVÁ, Dana. Affine Lagrangians in Second Order Field Theory. In Jaromír Baštinec and Miroslav Hrubý. \textit{Mathematics, Information Technologies and Applied Sciences 2017}. Mathematics, Information Tec. ČR: University of Defence, Brno, 2017. s.~217-225. ISBN~978-80-7582-026-6.
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