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Dergiler / Turkish Journal of Mathematics / 2014 / Cilt: 38 - Sayı: 3

Adapted basic connections to a certain subfoliation on the tangent manifold of a Finsler space

Adelina MANEA
Cristian IDA
Sayfa
470–482
Yayın Tarihi
2014-05-16
DOI
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In this paper we consider a (n,2n-1)-codimensional subfoliation (FV,FG) on TM0 given by vertical foliation FV and the line foliation spanned by vertical Liouville vector field G and we give a triplet of basic connections adapted to this subfoliation.

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Amaç & Hipotez:On the slit tangent manifold TM0 of a Finsler space (M,F) there are given some natural foliations as vertical foliation and some other fundamental foliations produced by the vertical and horizontal Liouville vector fields, see [A.
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Temel Bulgular & Veri:Physics 58, No. 1 (2006), 131--146].
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Sonuç & Katkı:In this paper we consider a (n,2n-1)-codimensional subfoliation (FV,FG) on TM0 given by vertical foliation FV and the line foliation spanned by vertical Liouville vector field G and we give a triplet of basic connections adapted to this subfoliation.
🔬Tür:Araştırma Makalesi
📍Kapsam:2006 Verileri
⚙️Değişkenler:Finsler manifold · subfoliation · basic connection

Özet

On the slit tangent manifold TM0 of a Finsler space (M,F) there are given some natural foliations as vertical foliation and some other fundamental foliations produced by the vertical and horizontal Liouville vector fields, see [A. Bejancu, H. R. Farran, Finsler Geometry and Natural Foliations on the Tangent Bundle, Rep. Math. Physics 58, No. 1 (2006), 131--146]. In this paper we consider a (n,2n-1)-codimensional subfoliation (FV,FG) on TM0 given by vertical foliation FV and the line foliation spanned by vertical Liouville vector field G and we give a triplet of basic connections adapted to this subfoliation.

Abstract

On the slit tangent manifold TM0 of a Finsler space (M,F) there are given some natural foliations as vertical foliation and some other fundamental foliations produced by the vertical and horizontal Liouville vector fields, see [A. Bejancu, H. R. Farran, Finsler Geometry and Natural Foliations on the Tangent Bundle, Rep. Math. Physics 58, No. 1 (2006), 131--146]. In this paper we consider a (n,2n-1)-codimensional subfoliation (FV,FG) on TM0 given by vertical foliation FV and the line foliation spanned by vertical Liouville vector field G and we give a triplet of basic connections adapted to this subfoliation.

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Bu Makaleye Atıf Yap

MANEA, A., IDA, C. (2014). Adapted basic connections to a certain subfoliation on the tangent manifold of a Finsler space. Turkish Journal of Mathematics, Cilt: 38 - Sayı: 3, 470–482. https://ajindex.com/articles/185717

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Kaynakça (9)

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