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

页数：12

共 50 条

[21] Biochemistry's new look
Blow, Nathan
NATURE, 2008, 455 (7213) : 697 - 700
[22] A New Look At Alzheimer's
Langreth, Robert
FORBES, 2009, 184 (06): : 74 - +
[23] The Journal's new look
不详
NEW ENGLAND JOURNAL OF MEDICINE, 1996, 335 (01): : 50 - 50
[24] The QUARTERLY's "New Look"
Charnley, Mitchell V.
JOURNALISM QUARTERLY, 1948, 25 (04): : 482 - 482
[25] A NEW LOOK AT AN OLD GEOMETRICAL INTERPRETATION OF STATISTICAL ERRORS IN TRIDIMENSIONAL CORRELATED VARIABLES
GRAINGER, AD
SHORT, MJ
TRANSACTIONS-AMERICAN GEOPHYSICAL UNION, 1968, 49 (01): : 115 - &
[26] A PROCEDURE TO PROVE GEOMETRICAL STATEMENTS
FERRO, GC
GALLO, G
LECTURE NOTES IN COMPUTER SCIENCE, 1989, 356 : 141 - 150
[27] BLALOCK-HANLON PROCEDURE - NEW LOOK AT AN OLD OPERATION
BEHRENDT, DM
KIRSH, MM
ORRINGER, MB
PERRY, B
SIGMANN, J
STERN, A
SLOAN, H
ANNALS OF THORACIC SURGERY, 1975, 20 (04): : 424 - 432
[28] A geometrical procedure for computing relaxation
Pulcini, Gabriele
ANNALS OF PURE AND APPLIED LOGIC, 2009, 158 (1-2) : 80 - 89
[29] A look at New Holland's new tractors
Osenga, M
DIESEL PROGRESS NORTH AMERICAN EDITION, 1997, 63 (07): : 10 - &
[30] The New Look in children's book s
Ives, Vernon
LIBRARY JOURNAL, 1947, 72 (22) : 1730 - 1733

← 1 2 3 4 5 →