Cartesian Product of Hyperbolic (F,g,r,η,έ) Structure

Dr. Shankar Lal

doi:https://doi.org/10.14445/22315373/IJMTT-V46P538

International Journal of Mathematics Trends and Technology

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Volume 46 | Number 4 | Year 2017 | Article Id. IJMTT-V46P538 | DOI : https://doi.org/10.14445/22315373/IJMTT-V46P538

Cartesian Product of Hyperbolic (F,g,r,η,έ) Structure

Dr. Shankar Lal

Citation :

Dr. Shankar Lal, "Cartesian Product of Hyperbolic (F,g,r,η,έ) Structure," International Journal of Mathematics Trends and Technology (IJMTT), vol. 46, no. 4, pp. 264-271, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V46P538

Abstract

In the present paper we have studied the Cartesian product of hyperbolic (F,g,r,η,έ) structure. Cartesian product of two manifolds has been defined and studied by Pandey. In this paper we have taken Cartesian product of (F,g,r,η,έ) structure manifolds, where r is some finite integer and studied some properties of curvature and Ricci tensor of such a product manifold. In section one; introductory part of hyperbolic (F,g,r,η,έ) structure is defined. In section two, we prove that the some theorems of product of hyperbolic (F,g,r,η,έ) structure as well as others important structure. In section three, we have studied some properties of Curvature and Ricci tensor and some theorems. In the end we have discussed the Cartesian product of hyperbolic (F,g,r,η,έ) structure.

Keywords

Cartesian product, hyperbolic (F,g,r,η,έ) structure, Curvature and Ricci tensor, Tachibana manifolds, KH-structure, Einstein space etc.

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