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

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2017 by IJMTT Journal
Volume-46 Number-4
Year of Publication : 2017
Authors : Dr. Shankar Lal
  10.14445/22315373/IJMTT-V46P538

MLA

Dr. Shankar Lal "Cartesian Product of Hyperbolic (F,g,r,η,έ) Structure", International Journal of Mathematics Trends and Technology (IJMTT). V46(4):264-271 June 2017. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

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.

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