ON THE K-NULLITY FOLIATIONS IN FINSLER GEOMETRY

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BIDABAD B.; RAFIE RAD M.

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ISSN: 2588-4824

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Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2011 | Volume:37 | Issue:4 Page(s): 1-18

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Title

ON THE K-NULLITY FOLIATIONS IN FINSLER GEOMETRY

Author(s)

BIDABAD B. | RAFIE RAD M. | Issue Writer Certificate

Keywords

FOLIATION

K-NULLITY

FINSLER MANIFOLDS

CURVATURE OPERATOR

Abstract

Here, a Finsler manifold (M, F) is considered with corresponding curvature tensor, regarded as 2-forms on the bundle of non-zero tangent vectors. Certain subspaces of the tangent spaces of M determined by the curvature are introduced and called knullity FOLIATIONs of the CURVATURE OPERATOR. It is shown that if the dimension of FOLIATION is constant, then the distribution is involutive and each maximal integral manifold is totally geodesic. Characterization of the K-NULLITY FOLIATION is given, as well as some results concerning constancy of the flag curvature, and completeness of their integral manifolds, providing completeness of (M, F). The introduced K-NULLITY space is a natural extension of nullity space in Riemannian geometry, introduced by Chern and Kuiper and enlarged to Finsler setting by Akbar-Zadeh and contains it as a special case.

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APA: Copy

BIDABAD, B., & RAFIE RAD, M.. (2011). ON THE K-NULLITY FOLIATIONS IN FINSLER GEOMETRY. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 37(4), 1-18. SID. https://sid.ir/paper/592881/en

Vancouver: Copy

BIDABAD B., RAFIE RAD M.. ON THE K-NULLITY FOLIATIONS IN FINSLER GEOMETRY. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2011;37(4):1-18. Available from: https://sid.ir/paper/592881/en

IEEE: Copy

B. BIDABAD, and M. RAFIE RAD, “ON THE K-NULLITY FOLIATIONS IN FINSLER GEOMETRY,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 37, no. 4, pp. 1–18, 2011, [Online]. Available: https://sid.ir/paper/592881/en

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