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Paper Information

Journal:   AMIRKABIR   FALL 2007- WINTER 2008 , Volume 18 , Number 67-E; Page(s) 55 To 61.
 
Paper: 

ALMOST STRUCTURES: PRODUCT AND ANTI-HERMITIAN

 
 
Author(s):  PEYGHAN E., RAZAVI A.
 
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Abstract: 

Noting that the complete lift of a Riemannian metric g defined on a differentiable manifold M is not 0-homogeneous on the fibers of the tangent bundle TM, in this paper, we introduce a new lift ~g2 which is 0-homogeneous. It determines on ~TM=TM\{0} a pseudo-Riemannian metric, which depends only on the metric g. We study some of the -geometrical properties of this pseudo-Riemannian space and define the natural almost complex structure ~J and natural almost product structure ~Q which preserve the property of homogeneity and find some new results.

 
Keyword(s): ALMOST COMPLEX STRUCTURE, ALMOST ANTI-HERMITIAN STRUCTURE, ALMOST PRODUCT STRUCTURE, COMPLETE LIFT METRIC
 
References: 
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