Geodesic
On projectable objects on fibred manifolds
Archivum mathematicum, Tome 37 (2001) no. 3, pp. 185-206 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

The aim of this paper is to study the projectable and $N$-projectable objects (tensors, derivations and linear connections) on the total space $E$ of a fibred manifold $\xi $, where $N$ is a normalization of $\xi $.
The aim of this paper is to study the projectable and $N$-projectable objects (tensors, derivations and linear connections) on the total space $E$ of a fibred manifold $\xi $, where $N$ is a normalization of $\xi $.
Classification : 53B40, 53C07, 53C60
Keywords: fibred manifold; projectable objects; $d$-tensor fields 
@article{ARM_2001_37_3_a2,
     author = {Cruceanu, Vasile and Popescu, Marcela and Popescu, Paul},
     title = {On projectable objects on fibred manifolds},
     journal = {Archivum mathematicum},
     pages = {185--206},
     year = {2001},
     volume = {37},
     number = {3},
     mrnumber = {1860183},
     zbl = {1090.53503},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2001_37_3_a2/}
}
TY  - JOUR
AU  - Cruceanu, Vasile
AU  - Popescu, Marcela
AU  - Popescu, Paul
TI  - On projectable objects on fibred manifolds
JO  - Archivum mathematicum
PY  - 2001
SP  - 185
EP  - 206
VL  - 37
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/ARM_2001_37_3_a2/
LA  - en
ID  - ARM_2001_37_3_a2
ER  - 
%0 Journal Article
%A Cruceanu, Vasile
%A Popescu, Marcela
%A Popescu, Paul
%T On projectable objects on fibred manifolds
%J Archivum mathematicum
%D 2001
%P 185-206
%V 37
%N 3
%U http://geodesic.mathdoc.fr/item/ARM_2001_37_3_a2/
%G en
%F ARM_2001_37_3_a2
Cruceanu, Vasile; Popescu, Marcela; Popescu, Paul. On projectable objects on fibred manifolds. Archivum mathematicum, Tome 37 (2001) no. 3, pp. 185-206. http://geodesic.mathdoc.fr/item/ARM_2001_37_3_a2/

[1] Ako M.: Fibred spaces with almost complex structure. Kodai Math. Sem. Rep., 29 (1972), 482–505. | MR

[2] Bejancu A.: Finsler Geometry and Applications. Math. and its appl., Chichester, 1988.

[3] Cruceanu V.: Sur la structure presque produit assiciée à une connection sur un espace fibré. An. St. Univ. “Al.I.Cuza" Iassy, XV (1969), 159–167. | MR

[4] Cruceanu V.,: Connections compatibles avec certaines structures sur un fibré vectoriel banachique. Czechoslovak Math. J., 24 (1974), 126–142. | MR

[5] Cruceanu V.: A New definition for certaines lifts on a Vector Bundle. An. St. Univ. ”Al.I.Cuza” Iassy, 42 (1996), 59–72. | MR

[6] Gray A.: Pseudo-Riemannian almost products manifolds and submersions. J.Math.and Mech. 16 (1967), 715–738. | MR

[7] Grifone J.: Structures presque-tangente et connexions. I, II, Ann. Inst. Fourier, 22 (1972), 287–334, 291–338. | MR

[8] Ishihara S., Konishi M.: Differential Geometry of Fibred Spaces. Publ. Study Group of Geometry, 8 (1973), 1–200. | MR | Zbl

[9] Mangiarotti L., Modugno M.: Connections and Differential Calculus on Fibred Manifolds. Istituto de Mat. Appl. “G. Sansone", Italy, 1989, 147 pp. | Zbl

[10] Miron R. : The geometry of Higher-Order Lagrange Spaces. Aplications to Mechanics and Physics. Kluwer Acad. Publ. FTPH (1996). | MR

[11] Miron R., Anastasiei M.: The Geometry of Lagrange Spaces. Theory and Applications. Kluwer Acad. Publ. 59 (1994). | MR | Zbl

[12] Popescu M., Popescu P.: d-Linear Connections on Fibred Manifolds. An. Univ. Craiova, Ser. mat., XXIII (1996), 52–59. | MR | Zbl

[13] Popescu P.: On the geometry of R-tangent spaces. Rev. Roum. Math. Pures Appl., 37(1992), 8, 727–733. | MR

[14] Yano K., Ishihara S.: Differential Geometry of Fibred Spaces. Kodai Math. Sem. Rep., 19 (1967), 257–288. | MR | Zbl