@article{AFST_1995_6_4_1_61_0,
author = {Manuel De Le\'on and Eugenic Merino and Jos\'e A. Oubi\~na and Modesto Salgado},
title = {A global characterization of jet bundles of $p^1$-velocities and covelocities},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {61--75},
publisher = {Universit\'e Paul Sabatier},
address = {Toulouse},
volume = {Ser. 6, 4},
number = {1},
year = {1995},
zbl = {0846.53019},
mrnumber = {1344717},
language = {en},
url = {https://afst.centre-mersenne.org/item/AFST_1995_6_4_1_61_0/}
}
TY - JOUR AU - Manuel De León AU - Eugenic Merino AU - José A. Oubiña AU - Modesto Salgado TI - A global characterization of jet bundles of $p^1$-velocities and covelocities JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 1995 SP - 61 EP - 75 VL - 4 IS - 1 PB - Université Paul Sabatier PP - Toulouse UR - https://afst.centre-mersenne.org/item/AFST_1995_6_4_1_61_0/ LA - en ID - AFST_1995_6_4_1_61_0 ER -
%0 Journal Article %A Manuel De León %A Eugenic Merino %A José A. Oubiña %A Modesto Salgado %T A global characterization of jet bundles of $p^1$-velocities and covelocities %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 1995 %P 61-75 %V 4 %N 1 %I Université Paul Sabatier %C Toulouse %U https://afst.centre-mersenne.org/item/AFST_1995_6_4_1_61_0/ %G en %F AFST_1995_6_4_1_61_0
Manuel De León; Eugenic Merino; José A. Oubiña; Modesto Salgado. A global characterization of jet bundles of $p^1$-velocities and covelocities. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 4 (1995) no. 1, pp. 61-75. https://afst.centre-mersenne.org/item/AFST_1995_6_4_1_61_0/
[1] ) .- Sur une généralisation des structures symplectiques, Thèse de 3ème cycle, Publications de l'Institut de Recherche Mathématique Avancée, Strasbourg, 1984.
[2] ) .- k-Symplectic structures, J. Math. Phys. 33, n° 12 (1992), pp. 4046-4052. | MR | Zbl
[3] ) . - Some affine properties of k-symplectic structures, Preprint. | MR
[4] ) and ) .- Affine bundles and integrable almost tangent structures, Math. Proc. Camb. Phil. Soc. 98 (1985), pp. 61-71. | MR | Zbl
[5] ), ), ) and ) .- Tensor fields defining a tangent bundle structure, Ann. Inst. Henri-Poincaré, Physique théorique 50, n° 2 (1989), pp. 205-218. | Numdam | MR | Zbl
[6] ), ) and ) .- Regular p-almost cotangent structure, J. Korean Math. Soc. 25, n° 2 (1988), pp. 273-287. | MR | Zbl
[7] ), ) and ) .- Integrable p-almost tangent manifolds and tangent bundles of p1-velocities, Acta Mathematica Hungarica 58, n° 1-2 (1991), pp. 45-54. | MR | Zbl
[8] ), ) and ) .- p-Almost tangent structures, Rend. Circ. Mat. Palermo, Serie II, XXXVII (1988), pp. 282-294. | MR | Zbl
[9] ), ) and ) .- p-Almost cotangent structures, Bollettino U. M. I. 7-A, n° 7 (1993), pp. 97-107. | MR | Zbl
[10] ), ), ) and ) .- A characterization of tangent and stable tangent bundles, to appear in Ann. Inst. Henri-Poincaré, Physique Théorique, 61, n° 1 (1994). | Numdam | MR | Zbl
[11] ) and ) .- Generalized Classical Mechanics and Field Theory, North-Holland Math., Serie 112, Amsterdam (1985). | MR | Zbl
[12] ) and ) .- A contribution to the global formulation of the higher Poincaré-Cartan form, Letters in Mathematical Physics 14, n° 4 (1987), pp. 353-362. | MR | Zbl
[13] ) and ) .- Hamiltonian structures and Lagrangian field theories on jet bundles, Bol. Acad. Galega de Ciencias VII (1988), pp. 69-81.
[14] ) and ) .- nk-Almost Tangent Structures and the Hamiltonization of Higher Order Field Theories, J. Math. Phys. 30, n° 6 (1989), pp. 1351-1353. | MR | Zbl
[15] ) and ) .- Methods of Differential Geometry in Analytical Mechanics, North-Holland Math., Serie 152, Amsterdam (1989). | MR | Zbl
[16] ) .- p-Estructuras casi tangentes y p-estructuras casi cotangentes, Publicaciones del Departamento de Geometría y Topología 78, Universidad de Santiago de Compostela (1990). | Zbl
[17] ) . - Prolongations of Geometric Structures, Lecture Note, Math. Inst. Nagoya Univ. (1969). | MR | Zbl
[18] ) .- 1-Forms with the exterior derivative of maximal rank, J. Differential Geometry 2 (1968), pp. 253-264. | MR | Zbl
[19] ) . - Integrable almost cotangent structures and Legendrian bundles, Math. Proc. Camb. Phil. Soc. 101 (1987), pp. 61-78. | MR | Zbl
[20] ) and ) .- Almost tangent and cotangent structures in the large, Transactions of the Amer. Math. Soc. 327, n° 1 (1991), pp. 313-328. | MR | Zbl