A CHARACTERIZATION OF THE INFINITESIMAL CONFORMAL TRANSFORMATIONS ON TANGENT BUNDLES

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HEYDARI ABAS; PEYGHAN E.

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ISSN: 2588-4824

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Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2008 | Volume:34 | Issue:2 Page(s): 59-70

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Title

A CHARACTERIZATION OF THE INFINITESIMAL CONFORMAL TRANSFORMATIONS ON TANGENT BUNDLES

Author(s)

HEYDARI ABAS | PEYGHAN E. | Issue Writer Certificate

Keywords

ALMOST PRODUCT STRUCTURE

COMPLETE LIFT METRIC

CONFORMAL TRANSFORMATION

Abstract

Here, we present a new COMPLETE LIFT METRIC for which every infinitesimal fiber-preserving CONFORMAL TRANSFORMATION on the tangent bundle induces an infinitesimal projective transformation on the base manifold. Moreover, this correspondence gives rise to a homomorphism between Lie algebras. Also, we introduce an ALMOST PRODUCT STRUCTURE on the tangent bundle and show that it is a product structure if and only if the corresponding Riemannian metric is of constant curvature.

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APA: Copy

HEYDARI, ABAS, & PEYGHAN, E.. (2008). A CHARACTERIZATION OF THE INFINITESIMAL CONFORMAL TRANSFORMATIONS ON TANGENT BUNDLES. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 34(2), 59-70. SID. https://sid.ir/paper/559514/en

Vancouver: Copy

HEYDARI ABAS, PEYGHAN E.. A CHARACTERIZATION OF THE INFINITESIMAL CONFORMAL TRANSFORMATIONS ON TANGENT BUNDLES. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2008;34(2):59-70. Available from: https://sid.ir/paper/559514/en

IEEE: Copy

ABAS HEYDARI, and E. PEYGHAN, “A CHARACTERIZATION OF THE INFINITESIMAL CONFORMAL TRANSFORMATIONS ON TANGENT BUNDLES,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 34, no. 2, pp. 59–70, 2008, [Online]. Available: https://sid.ir/paper/559514/en

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