Infinitesimal conformal transformations in the Riemannian space of the second approximation for a space of non-zero constant curvature

S. Pokas, A. Krutoholova
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引用次数: 1

Abstract

For the Riemannian space Vn, the invariantly associated with Vn space V˜n2 is constructed, which implements a second order approximation for Vn. We studied conformal transformations when the original space is a space of non-zero constant curvature.For the Riemannian space Vn, the invariantly associated with Vn space V˜n2 is constructed, which implements a second order approximation for Vn. We studied conformal transformations when the original space is a space of non-zero constant curvature.
非零常曲率空间的二阶近似黎曼空间中的无限小保形变换
对于黎曼空间Vn,构造了与Vn空间V ~ n2相关联的不变量,实现了对Vn的二阶逼近。我们研究了原始空间是非零常曲率空间时的保形变换。对于黎曼空间Vn,构造了与Vn空间V ~ n2相关联的不变量,实现了对Vn的二阶逼近。我们研究了原始空间是非零常曲率空间时的保形变换。
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