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2013•International Journal of Geometric Methods in Modern PhysicsRequires access

ALMOST PARACONTACT STRUCTURES ON TANGENT SPHERE BUNDLE

E. Peyghan, A. NADERIFARD, Akbar Tayebi

Open publisher page 4 citations

Abstract

Using the almost product structure given by Druta, we introduce a metrical framed f(3, -1)-structure on the tangent bundle of a Riemannian manifold. Then by restricting this metrical framed f(3, -1)-structure to the tangent sphere bundle, we obtain an almost metrical paracontact structure on the tangent sphere bundle.

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What this paper is about

Using the almost product structure given by Druta, we introduce a metrical framed f(3, -1)-structure on the tangent bundle of a Riemannian manifold. Then by restricting this metrical framed f(3, -1)-structure to the tangent sphere bundle, we obtain an almost metrical paracontact structure on the tangent sphere bundle.

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Using the almost product structure given by Druta, we introduce a metrical framed f(3, -1)-structure on the tangent bundle of a Riemannian manifold. Then by restricting this metrical framed f(3, -1)-structure to the tangent sphere bundle, we obtain an almost metrical paracontact structure on the tangent sphere bundle.

Key concepts: Tangent bundle, Unit tangent bundle, Normal bundle, Bundle, Mathematics, Frame bundle, Tangent, Manifold (fluid mechanics)

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