LIFTS FROM A LAGRANGE MANIFOLD TO ITS CONTANGENT BUNDLE

Ismet Ayhan

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LIFTS FROM A LAGRANGE MANIFOLD TO ITS CONTANGENT BUNDLE

机译：从Lagrange歧管到其配套捆的提升

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摘要

In this paper, it is obtained the image on the cotangent bundle of the basic tensor fields (i.e. functions, vector fields and 1-forms) on the tangent bundle of a Lagrange manifold which is obtained by vertical, complete and horizontal lifts under the Legendre transformation.

机译：本文通过Lagenrange流形切线束的基本张量场（即函数，矢量场和1-形式）的同余束上的图像，得到了Legendre下的垂直，完全和水平提升转型。

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来源
《Algebras, groups and geometries》 |2010年第2期|p.229-246|共18页
作者
Ismet Ayhan;
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作者单位

Pamukkale University, Education Faculty Department of Secondary School Science and Mathematics Education 20070 Campus Denizli, Turkey;

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原文格式 PDF
正文语种 eng
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关键词
lagrange equation; duality;

机译：拉格朗日方程二元性;

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3. Curvatures of the diagonal lift from an affine manifold to the linear frame bundle [J] . Kowalski O., Sekizawa M. Central European Journal of Mathematics . 2012,第3期

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8. Lagrange Multiplier Rule on Manifolds and Optimal Control of Nonlinear Systems [R] . Bus, J. C. P. 1982

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LIFTS FROM A LAGRANGE MANIFOLD TO ITS CONTANGENT BUNDLE

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