# Some framed f -structures on transversally Finsler foliations

Annales UMCS, Mathematica (2011)

- Volume: 65, Issue: 1, page 87-96
- ISSN: 2083-7402

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topCristian Ida. " Some framed f -structures on transversally Finsler foliations ." Annales UMCS, Mathematica 65.1 (2011): 87-96. <http://eudml.org/doc/267568>.

@article{CristianIda2011,

abstract = {Some problems concerning to Liouville distribution and framed f-structures are studied on the normal bundle of the lifted Finsler foliation to its normal bundle. It is shown that the Liouville distribution of transversally Finsler foliations is an integrable one and some natural framed f(3, ε)-structures of corank 2 exist on the normal bundle of the lifted Finsler foliation.},

author = {Cristian Ida},

journal = {Annales UMCS, Mathematica},

keywords = {Transversally Finsler foliation; Liouville distribution; framed f-structures; transversal Finsler foliation; framed -structure},

language = {eng},

number = {1},

pages = {87-96},

title = { Some framed f -structures on transversally Finsler foliations },

url = {http://eudml.org/doc/267568},

volume = {65},

year = {2011},

}

TY - JOUR

AU - Cristian Ida

TI - Some framed f -structures on transversally Finsler foliations

JO - Annales UMCS, Mathematica

PY - 2011

VL - 65

IS - 1

SP - 87

EP - 96

AB - Some problems concerning to Liouville distribution and framed f-structures are studied on the normal bundle of the lifted Finsler foliation to its normal bundle. It is shown that the Liouville distribution of transversally Finsler foliations is an integrable one and some natural framed f(3, ε)-structures of corank 2 exist on the normal bundle of the lifted Finsler foliation.

LA - eng

KW - Transversally Finsler foliation; Liouville distribution; framed f-structures; transversal Finsler foliation; framed -structure

UR - http://eudml.org/doc/267568

ER -

## References

top- Abate, M., Patrizio, G., Finsler Metrics - A Global Approach, Lecture Notes in Math., 1591, Springer-Verlag, Berlin, 1994. Zbl0837.53001
- Anastasiei, M., A framed f-structure on tangent bundle of a Finsler space, An. Univ. Bucureşti, Mat.-Inf., 49 (2000), 3-9.
- Bao, D., Chern, S. S. and Shen, Z., An Introduction to Riemannian Finsler Geometry, Graduate Texts in Math., 200, Springer-Verlag, New York, 2000.
- Bejancu, A., Farran, H. R., On the vertical bundle of a pseudo-Finsler manifold, Int. J. Math. Math. Sci. 22 (3) (1997), 637-642. Zbl0978.53050
- Gîrţu, M., An almost paracontact structure on the indicatrix bundle of a Finsler space, Balkan J. Geom. Appl. 7(2) (2002), 43-48. Zbl1026.53043
- Gîrţu, M., A framed f(3, -1)-structure on the tangent bundle of a Lagrange space, Demonstratio Math. 37(4) (2004), 955-961. Zbl1076.53094
- Hasegawa, I., Yamaguchi, K. and Shimada, H., Sasakian structures on Finsler manifolds, Antonelli, P. L., Miron R. (eds.), Lagrange and Finsler Geometry, Kluwer Acad. Publ., Dordrecht, 1996, 75-80. Zbl0843.53016
- Miernowski, A., A note on transversally Finsler foliations, Ann. Univ. Mariae Curie-Skłodowska Sect. A 60 (2006), 57-64. Zbl1136.53027
- Miernowski, A., Mozgawa, W., Lift of the Finsler foliations to its normal bundle, Differential Geom. Appl. 24 (2006), 209-214.[Crossref] Zbl1095.53021
- Mihai, I., Roşca, R. and Verstraelen, L., Some aspects of the differential geometry of vector fields, PADGE, Katholieke Univ. Leuven, vol. 2 (1996). Zbl0960.53019
- Miron, R., Anastasiei, M., The Geometry of Lagrange Spaces: Theory and Applications, Kluwer Acad. Publ., Dordrecht, 1994. Zbl0831.53001
- Popescu, P., Popescu, M., Lagrangians adapted to submersions and foliations, Differential Geom. Appl. 27 (2009), 171-178.[WoS][Crossref] Zbl1162.53019
- Singh, K. D., Singh, R., Some f(3, ε)-structure manifold, Demonstratio Math. 10 (3-4) (1977), 637-645.
- Vaisman, I., Lagrange geometry on tangent manifolds, Int. J. Math. Math. Sci. 51 (2003), 3241-3266.[Crossref] Zbl1045.53021
- Yano, K., On a structure defined by a tensor field of type (1, 1) satisfying f3 + f = 0, Tensor (N.S.) 14 (1963), 99-109. Zbl0122.40705

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