On projectable objects on fibred manifolds
Vasile Cruceanu; Marcela Popescu; Paul Popescu
Archivum Mathematicum (2001)
- Volume: 037, Issue: 3, page 185-206
- ISSN: 0044-8753
Access Full Article
topAbstract
topHow to cite
topCruceanu, Vasile, Popescu, Marcela, and Popescu, Paul. "On projectable objects on fibred manifolds." Archivum Mathematicum 037.3 (2001): 185-206. <http://eudml.org/doc/248738>.
@article{Cruceanu2001,
abstract = {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 $.},
author = {Cruceanu, Vasile, Popescu, Marcela, Popescu, Paul},
journal = {Archivum Mathematicum},
keywords = {fibred manifold; projectable objects; $d$-tensor fields; fibred manifold; projectable objects; d-tensor fields},
language = {eng},
number = {3},
pages = {185-206},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On projectable objects on fibred manifolds},
url = {http://eudml.org/doc/248738},
volume = {037},
year = {2001},
}
TY - JOUR
AU - Cruceanu, Vasile
AU - Popescu, Marcela
AU - Popescu, Paul
TI - On projectable objects on fibred manifolds
JO - Archivum Mathematicum
PY - 2001
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 037
IS - 3
SP - 185
EP - 206
AB - 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 $.
LA - eng
KW - fibred manifold; projectable objects; $d$-tensor fields; fibred manifold; projectable objects; d-tensor fields
UR - http://eudml.org/doc/248738
ER -
References
top- Ako M., Fibred spaces with almost complex structure, Kodai Math. Sem. Rep., 29 (1972), 482–505. (1972) MR0353192
- Bejancu A., Finsler Geometry and Applications, Math. and its appl., Chichester, 1988. (1988)
- 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. (1969) MR0256294
- Cruceanu V.,, Connections compatibles avec certaines structures sur un fibré vectoriel banachique, Czechoslovak Math. J., 24 (1974), 126–142. (1974) MR0353356
- Cruceanu V., A New definition for certaines lifts on a Vector Bundle, An. St. Univ. ”Al.I.Cuza” Iassy, 42 (1996), 59–72. (1996) MR1458921
- Gray A., Pseudo-Riemannian almost products manifolds and submersions, J.Math.and Mech. 16 (1967), 715–738. (1967) MR0205184
- Grifone J., Structures presque-tangente et connexions, I, II, Ann. Inst. Fourier, 22 (1972), 287–334, 291–338. (1972) MR0336636
- Ishihara S., Konishi M., Differential Geometry of Fibred Spaces, Publ. Study Group of Geometry, 8 (1973), 1–200. (1973) Zbl0337.53001MR0405275
- Mangiarotti L., Modugno M., Connections and Differential Calculus on Fibred Manifolds, Istituto de Mat. Appl. “G. Sansone", Italy, 1989, 147 pp. (1989) Zbl0841.53023
- Miron R., The geometry of Higher-Order Lagrange Spaces, Aplications to Mechanics and Physics. Kluwer Acad. Publ. FTPH (1996). (1996) MR1437362
- Miron R., Anastasiei M., The Geometry of Lagrange Spaces. Theory and Applications, Kluwer Acad. Publ. 59 (1994). (1994) Zbl0831.53001MR1281613
- Popescu M., Popescu P., d-Linear Connections on Fibred Manifolds, An. Univ. Craiova, Ser. mat., XXIII (1996), 52–59. (1996) Zbl1053.53513MR1654908
- Popescu P., On the geometry of R-tangent spaces, Rev. Roum. Math. Pures Appl., 37(1992), 8, 727–733. (1992) MR1188626
- Yano K., Ishihara S., Differential Geometry of Fibred Spaces, Kodai Math. Sem. Rep., 19 (1967), 257–288. (1967) Zbl0153.51204MR0224027
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.