On conformal transformations of metrics of Riemannian paracomplex manifolds

Дифференциальная геометрия многообразий фигур

S.E. Stepanov¹  I. I. Tsyganok²  V. Rovenski³ 

[1] Financial University under the Government of the Russian Federation ;Financial University under the Government of the Russian Federation ;University of Haifa;

关键词: almost paracomplex manifold;    conformal transformations;    bochner technique;    mixed scalar curvature;   

DOI  :  10.5922/0321-4796-2020-52-11

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown