## Found 93 Documents (Results 1–93)

100
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### On the closure property of Lepage equivalents of Lagrangians. (English)Zbl 1484.58002

MSC:  58A10 58A20 83D05
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MSC:  49K15
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### Symmetries of line bundles and Noether theorem for time-dependent nonholonomic systems. (English)Zbl 1407.37088

MSC:  37J15 37J60 70F25 70H25 70H33
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### The symmetry reduction of variational integrals, complement. (English)Zbl 1463.49054

MSC:  49S05 49N99 70H03
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### The symmetry reduction of variational integrals. (English)Zbl 1463.49055

MSC:  49S05 49N99 70H03
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### Lie algebras of conservation laws of variational partial differential equations. (English)Zbl 1390.70066

MSC:  70S05 70S10 70G65
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### Second-order Lagrangians admitting a first-order Hamiltonian formalism. (English)Zbl 1387.58022

MSC:  58E30 58A20 83C05
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### The principles of Newtonian and quantum mechanics. The need for Planck’s constant, $$h$$. With a forword by Basil Hiley. 2nd edition. (English)Zbl 1358.70001

Hackensack, NJ: World Scientific (ISBN 978-981-3200-96-8/hbk; 978-981-3200-98-2/ebook). xxv, 396 p. (2017).
MSC:  70-02 81-02
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### Order reduction, projectability and constraints of second-order field theories and higher-order mechanics. (English)Zbl 1384.81067

MSC:  81T10 70H45
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MSC:  53C60
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### Lie algebras of conservation laws of variational ordinary differential equations. (English)Zbl 1308.70050

MSC:  70S05 70S10 70G65
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### Integrability of second-order Lagrangians admitting a first-order Hamiltonian formalism. (English)Zbl 1319.58015

MSC:  58E30 58A20 83C05
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### Variational theory of balance systems. (English)Zbl 1205.80041

MSC:  80A20 58A20 80M30
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### The geometry of systems of third-order differential equations induced by second-order regular Lagrangians. (English)Zbl 1229.70044

MSC:  70G45 70H50 70H03
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### Invariance of second order covariant Hamiltonians on the bundle of linear frames. (English)Zbl 1234.58005

Iglesias Ponte, David (ed.) et al., Proceedings of the XV international workshop on geometry and physics, Puerto de la Cruz, Spain, September 11–16, 2006. Madrid: Real Sociedad Matemática Española (ISBN 978-84-935196-1-2/pbk). Publicaciones de la Real Sociedad Matemática Española 11, 343-348 (2007).

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### Covariant Hamiltonians for diffeomorphism-invariant Lagrangians on linear frame bundles. (English)Zbl 1110.58012

Bureš, Jarolím (ed.) et al., Differential geometry and its applications. Proceedings of the 9th international conference on differential geometry and its applications, DGA 2004, Prague, Czech Republic, August 30–September 3, 2004. Prague: matfyzpress (ISBN 80-86732-63-0/pbk). 639-644 (2005).
MSC:  58E30 58A20 58D19

### Global characterization of variational first-order quasi-linear equations. (English)Zbl 1087.58010

MSC:  58E30 58A20
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### On regularization of second order Lagrangians. (English)Zbl 1119.35328

Taş, Kenan (ed.) et al., Global analysis and applied mathematics. Proceedings of the international workshop on global analysis, Ankara, Turkey, April 15–17, 2004. Melville, NY: American Institute of Physics (ISBN 0-7354-0209-4/hbk). AIP Conference Proceedings 729, 289-296 (2004).
MSC:  35K15 49N60 58Z05

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### Exterior differential systems and Euler-Lagrange partial differential equations. (English)Zbl 1024.58006

Chicago Lectures in Mathematics. Chicago: University of Chicago Press. vii, 213 p. (2003).
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### Hamiltonian formalism in supermechanics. (English)Zbl 1106.37307

MSC:  37J05 58A50 70G45 70H05 70S05
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### Examples from the calculus of variations. IV: Concluding review. (English)Zbl 1008.49015

MSC:  49K27 49-02 58E30
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### Legendre transformation for regularizable Lagrangians in field theory. (English)Zbl 1005.70025

MSC:  70S05 58Z05 78A25
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### Lie algebroid generalization of geometric mechanics. (English)Zbl 1009.70014

Kubarski, Jan (ed.) et al., Lie algebroids and related topics in differential geometry. Proceedings of the conference, Warsaw, Poland, June 12-18, 2000. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 54, 201-215 (2001).
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### The principles of Newtonian and quantum mechanics. The need for Planck’s constant, $$h$$. (English)Zbl 0991.70001

London: Imperial College Press (ISBN 1-86094-274-1/hbk; 978-1-84816-142-9/ebook). xxii, 357 p. (2001).
MSC:  70-02 81-02
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### On Hamilton $$p_2$$-equations in second-order field theory. (English)Zbl 0981.35005

Kozma, L. (ed.) et al., Steps in differential geometry. Proceedings of the colloquium on differential geometry, Debrecen, Hungary, July 25-30, 2000. Debrecen: Univ. Debrecen, Institute of Mathematics and Informatics, 329-341 (2001).
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### Hamiltonian field theory revisited: A geometric approach to regularity. (English)Zbl 0980.35009

Kozma, L. (ed.) et al., Steps in differential geometry. Proceedings of the colloquium on differential geometry, Debrecen, Hungary, July 25-30, 2000. Debrecen: Univ. Debrecen, Institute of Mathematics and Informatics, 187-207 (2001).
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### Variational first-order quasilinear equations. (English)Zbl 1058.58007

Kozma, L. (ed.) et al., Steps in differential geometry. Proceedings of the colloquium on differential geometry, Debrecen, Hungary, July 25–30, 2000. Debrecen: Univ. Debrecen, Institute of Mathematics and Informatics. 131-138 (2001).
MSC:  58E30 37K05 58A20
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### On regularization of variational problems in first-order field theory. (English)Zbl 0979.35005

Slovák, Jan (ed.) et al., The proceedings of the 20th winter school “Geometry and physics”, Srní, Czech Republic, January 15-22, 2000. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 66, 133-140 (2001).
MSC:  35A15 49N60 58Z05

### Nambu mechanics in the Lagrangian formalism. (English)Zbl 0993.70013

MSC:  70H03 70G45 70H99
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### Second-order Lagrangians admitting a second-order Hamilton-Cartan formalism. (English)Zbl 0973.70022

MSC:  70S05 70G45 70H99
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### Stress-energy-momentum tensors in higher order variational calculus. (English)Zbl 0954.58021

MSC:  58E30 76M30 83C40
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### $$\mathcal D$$-modules, contact valued calculus and Poincare-Cartan form. (English)Zbl 1011.58011

MSC:  58E30 58A20 58J10
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### Global methods in classical mechanics. The Euler-Lagrange equation. (English)Zbl 0919.70010

MSC:  70H03 70G10 70-02
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MSC:  58E30
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### From the Poincaré-Cartan form to a Gerstenhaber algebra of the Poisson brackets in field theory. (English)Zbl 0855.58026

Sardanashvily, Gennadi A. (ed.), New frontiers in gravitation. Palm Harbor, FL: Hadronic Press. Series on New Frontiers in Advanced Physics. 185-202 (1996).
MSC:  37J99 81T70 53D50
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### Symmetries and first integrals of time-dependent higher-order constrained systems. (English)Zbl 0870.58025

MSC:  37J99 70H03 37C80
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### Variational calculus and Poincaré-Cartan formalism on supermanifolds. (English)Zbl 0852.58012

MSC:  58C50 81T60 81V22
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### On the geometrical structure of Euler-Lagrange equations. (English)Zbl 0815.58002

Reviewer: C.Bär (Freiburg)
MSC:  58A20
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### Conserved quantities of the gravitational field in tetrad notation. (English)Zbl 0820.53063

MSC:  53Z05 83C40 83C57

### Solution of the inverse problem of the calculus of variations. (English)Zbl 0821.49026

Reviewer: S.Shih (Tianjin)
MSC:  49N45
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### On the equivalence of variational problems. II. (English)Zbl 0821.49009

MSC:  49J40 49L99 58A17
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### Conservation laws in general relativity. (English)Zbl 0756.53035

MSC:  53Z05 83C40
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### Geometric study of Hamilton’s variational principle. (English)Zbl 0747.70013

MSC:  70H25 58E30
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### The variational structure of general relativity. (English)Zbl 0741.53044

Constantin Carathéodory: an international tribute. Vol. I, 289-311 (1991).
MSC:  53C50 58E30 53C05

### Almost contact structures and time-dependent Lagrangians. (English)Zbl 0757.53016

MSC:  53C15 37J99
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### Conservation laws for Lagrangians in second-order mechanics. (English)Zbl 0795.70012

Gheorghe, Atanasiu (ed.), The Proceedings of the sixth national seminar on Finsler, Lagrange and Hamilton spaces, Brasov, Romania, 1990. Brasov: Societatea de Stiinte Matematice din Romania Universitatea Transilvania Brasov, 123-127 (1990).
MSC:  70H03 70H30 70G45

### A fresh approach to the Poincaré-Cartan form for a linear P.D.E. and a map between cohomologies. (English)Zbl 0793.58003

Janyška, Josef (ed.) et al., Differential geometry and its applications. International conference, Brno, Czechoslovakia, 27 Aug. - 2 Sept. 1989. Singapore: World Scientific. 220-229 (1990).
MSC:  58A15 37J99 70Sxx

### The geometry of jet bundles. (English)Zbl 0665.58002

London Mathematical Society Lecture Note Series, 142. Cambridge etc.: Cambridge University Press. 293 p. £20.00; \$ 29.95 (1989).
Reviewer: I.Kolář

### Intrinsic ADM formalism for generally covariant higher-order field theories. (English)Zbl 0675.53062

Reviewer: H.Rund
MSC:  53B50 83C99 49L99

### The regularity problem in the calculus of variations of second order. (Spanish. English summary)Zbl 0699.49040

MSC:  49Q99 58A15
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### Differential form methods in the theory of variational systems and Lagrangian field theories. (English)Zbl 0664.49018

Reviewer: J.Chrastina

### Applications of the Poincaré-Cartan form in higher order field theories. (English)Zbl 0659.58010

Differential geometry and its applications, Proc. Conf., Brno/Czech. 1986, Math. Appl., East Eur. Ser. 27, 31-52 (1987).
Reviewer: M.Modugno
MSC:  37J99 53C80 83C40

### On a property of higher order Poincaré-Cartan forms in the constructive approach. (English)Zbl 0661.49019

Geometrodynamics, Proc. Int. Meet., Cosenza/Italy 1985, 229-236 (1985).
Reviewer: J.Chrastina

### Poincaré-Cartan forms in higher order variational calculus on fibred manifolds. (English)Zbl 0606.49026

Reviewer: J.Chrastina
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### An axiomatic characterization of the Poincaré-Cartan form for second order variational problems. (English)Zbl 0578.58011

Differential geometric methods in mathematical physics, Proc. Int. Conf., Clausthal/Ger. 1983, Lect. Notes Math. 1139, 74-84 (1985).
MSC:  58E30 58A10 58A20

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### The great fugue of the Brownian theory of light. (English)Zbl 0548.60049

Stochastic Anal. Appl. (to appear).

### Canonical Cartan equations for higher order variational problems. (English)Zbl 0599.58018

Reviewer: Z.Guo
MSC:  58E30 58A15
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### A geometrical version of the higher order Hamilton formalism in fibred manifolds. (English)Zbl 0595.58016

Reviewer: B.G.Pachpatte
MSC:  37J99
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### Fibered connections and global Poincaré-Cartan forms in higher-order calculus of variations. (English)Zbl 0564.53013

Differential geometry and its applications, Proc. Conf., Nové Město na Moravě/Czech. 1983, Pt. 2, 61-91 (1984).
MSC:  53C05 58A20 49Q99

### On the conservation laws in general relativity. (English)Zbl 0546.53019

Differential geometry and its applications, Proc. Conf., Nové Město na Moravě/Czech. 1983, Pt. 2, 207-211 (1984).
MSC:  53B50 83C99

### Lepagean forms in higher order variational theory. (English)Zbl 0572.58003

Modern developments in analytical mechanics, Vol. I: Geometrical dynamics, Proc. IUTAM-ISIMM Symp., Torino/Italy 1982, 197-238 (1983).
MSC:  58A99 58E30

### On the globalization of Lagrangian and Hamiltonian formalism in higher order mechanics. (English)Zbl 0566.70019

Modern developments in analytical mechanics, Vol. I: Geometrical dynamics, Proc. IUTAM-ISIMM Symp., Torino/Italy 1982, 109-125 (1983).
MSC:  70Hxx 37J99 53C80

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### Hamiltonian, canonical and symplectic formulations of dynamics. (English)Zbl 0524.58013

Bifurcation theory, mechanics and physics, Proc. Colloq., 1-11 (1983).
MSC:  37J99 58A10 70G10

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### Hamiltonian perturbation theory in noncanonical coordinates. (English)Zbl 0516.70023

MSC:  70H05 34E10
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### Another approach to the classical calculus of variations. (English)Zbl 0508.58018

MSC:  58E30 58A10 37J99
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### Generalizations of Noether’s theorem in classical mechanics. (English)Zbl 0474.70014

MSC:  70H03 37J99 37C80
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### Homogeneous symplectic formulation of field dynamics and the Poincaré- Cartan form. (English)Zbl 0449.70016

Differential geometrical methods in mathematical physics, Proc. Conf. Aix-en-Provence and Salamanca 1979, Lect. Notes Math. 836, 484-497 (1980).

### Variational principles on rth order jets of fibre bundles in field theory. (English)Zbl 0415.58010

MSC:  58E30 70Hxx
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