A new class of Riemannian metrics on tangent bundle of a Riemannian manifold

Amir Baghban; Saeed Hashemi Sababe

doi:10.4134/CKMS.c200114

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A new class of Riemannian metrics on tangent bundle of a Riemannian manifold

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Einstein manifold integrability tangent bundle isotropic almost complex structure space form

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초록

The class of isotropic almost complex structures, $J_{\delta , \sigma}$, define a class of Riemannian metrics, $g_{\delta , \sigma}$, on the tangent bundle of a Riemannian manifold which are a generalization of the Sasaki metric. This paper characterizes the metrics $g_{\delta , 0}$ using the geometry of tangent bundle. As a by-product, some integrability results will be reported for $J_{\delta , \sigma}$.

Abstract

The class of isotropic almost complex structures, $J_{\delta , \sigma}$, define a class of Riemannian metrics, $g_{\delta , \sigma}$, on the tangent bundle of a Riemannian manifold which are a generalization of the Sasaki metric. This paper characterizes the metrics $g_{\delta , 0}$ using the geometry of tangent bundle. As a by-product, some integrability results will be reported for $J_{\delta , \sigma}$.

참고문헌 (17)

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