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H. Attarchi

Publications and source records attributed to H. Attarchi.

5 recordsLinked to original sources
arXiv2021

HyperKahler contact Distribution in 3-Sasakain Manifolds

In this paper, the HyperKahler contact distribution of a 3-Sasakian manifold is studied. To analyze the curvature properties of this distribution, the special metric connection $\bar{\nabla}$ is defined. This metric connection is completely determined by HyperKahler contact distribution. We prove that HyperKahler contact distribution is of constant holomorphic sectional curvatures if and only if its 3-Sasakian manifold is of constant $φ_α$-sectional curvatures. Moreover, it is shown that there is an interesting relation between the sectional curvatures of $φ_α$-planes on $TM$ of metric connection $\bar{\nabla}$ and the Levi-Civita connection.

math.MG↗
arXiv2021

The Warped Product of Hamiltonian Spaces

In this work, the warped product of Hamilton spaces is introduced and it is shown that these spaces obtain Hamiltonian structure as well. Then, the geometric properties of warped product Hamilton spaces such as their nonlinear connections and natural cotangent bundle structures are studied. Moreover, we prove some theorems that show geometric relation between warped product Hamiltonian space and its base Hamiltonian manifolds. For example, we prove that for non-constant warped function $f$, the sasaki lifted metric $G$ of Hamiltonian warped product space is bundle-like for its vertical foliation if and only if based Hamiltonian spaces are Riemannian manifolds.

math.MG↗
arXiv2014

An Adapted Frame on Indicatrix Bundle of a Finsler Manifold and its Geometric Properties

In this paper, a frame is introduced on tangent bundle of a Finsler manifold in a manner that it makes some simplicity to study the properties of the natural foliations in tangent bundle. Moreover, we show that the indicatrix bundle of a Finsler manifold with lifted sasaki metric and natural almost complex structure on tangent bundle cannot be a sasakian manifold.

math.MG↗
arXiv2012

Foliations of Tangent Bundle in a Finsler Manifold

In this paper, a frame is introduced on tangent bundle of a Finsler manifold in a manner that it makes some simplicity to study the properties of the natural foliations in tangent bundle. Moreover, we show that the indicatrix bundle of a Finsler manifold with lifted sasaki metric and natural almost complex structure on tangent bundle cannot be a sasakian manifold.

math.MG↗