Product and anti-Hermitian structures on the tangent space

E. Peyghan; A. Razavi; A. Heydari

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arXiv · 0710.3825

Product and anti-Hermitian structures on the tangent space

E. Peyghan·A. Razavi·A. Heydari

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Abstract

Noting that the complete lift of a Rimannian metric defined on a differentiable manifold is not 0-homogeneous on the fibers of the tangent bundle . In this paper we introduce a new lift which is 0-homogeneous. It determines on slit tangent bundle a pseudo-Riemannian metric, which depends only on the metric . We study some of the geometrical properties of this pseudo-Riemannian space and define the natural almost complex structure and natural almost product structure which preserve the property of homogeneity and find some new results.

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BibTeX RIS

E. Peyghan, A. Razavi, A. Heydari. 2007-10-20. Product and anti-Hermitian structures on the tangent space. https://arxiv.org/abs/0710.3825

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