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Differential Geometry of Manifolds

2021 №52

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Stepanov S.E. Tsyganok I.I. Rovenski V.

On conformal transformations of metrics of Riemannian paracomplex manifolds

DOI
10.5922/0321-4796-2020-52-11
Pages
117-122
almost paracomplex manifold conformal transformations Bochner technique mixed scalar curvature

Abstract

A 2n-dimensional differentiable manifold M with -structure is a Riemannian almost para­complex manifold. In the present paper, we consider con­formal transformations of metrics of Riemannian para­complex manifolds. In particular, a number of vanishing theorems for such transformations are proved using the Bochner technique.

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