A new geometrical look at Ostrogradsky's procedure

被引：1
|
作者：
Massa, Enrico [1 ]
Vignolo, Stefano [1 ]
Cianci, Roberto [1 ]
Carloni, Sante [2 ]
机构：
[1] Univ Genoa, Sez Metodi & Modelli Matemat, DIME, Via Allopera Pia 15, I-16145 Genoa, Italy
[2] Univ Lisbon, Inst Super Tecn, Ctr Multidisciplinar Astrofis CENTRA, P-1049001 Lisbon, Portugal
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2018年 / 15卷 / 08期
基金：
欧盟地平线“2020”;
关键词：
Higher order Lagrangians; non-holonomic geometry; DARK ENERGY; GRAVITY; MECHANICS;
D O I：
10.1142/S0219887818501281
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Making use of the modern techniques of non-holonomic geometry and constrained variational calculus, a revisitation of Ostrogradsky's Hamiltonian formulation of the evolution equations determined by a Lagrangian of order >= 2 in the derivatives of the configuration variables is presented.
引用
收藏
页数：12
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