论文标题
反邦捆绑包上的超萨基指标
The super-Sasaki metric on the antitangent bundle
论文作者
论文摘要
我们展示了如何将riemannian公制和几乎符号结构形式提升到riemannian结构上的歧管上,该结构被称为抗癌症或移动的切线束。我们将这种结构视为萨萨基(Sasaki)在里曼尼(Riemannian)歧管的切线捆绑中建造riemannian指标的概括。
We show how to lift a Riemannian metric and almost symplectic form on a manifold to a Riemannian structure on a canonically associated supermanifold known as the antitangent or shifted tangent bundle. We view this construction as a generalisation of Sasaki's construction of a Riemannian metric on the tangent bundle of a Riemannian manifold.