The Analytic Embedding of Geometries with Scalar Product

被引：0
|
作者：
Kyrov V.A. [1 ]
机构：
[1] Gorno-Altaisk State University, Gorno-Altaisk
来源：
Siberian Advances in Mathematics | 2021年 / 31卷 / 1期
关键词：
analytic function; differential equation; functional equation; scalar product;
D O I：
10.1134/S105513442101003X
中图分类号：
学科分类号：
摘要：
Abstract: We solve the problem of finding all (n+2)-dimensionalgeometries defined by a nondegenerate analytic function (Formula presented.) which is aninvariant of a motion group of dimension (n+1)(n+2)/2. As aresult, we have two solutions: the expected scalar product (Formula presented.) and the unexpected scalar product (Formula presented.). The solution of the problem is reduced to theanalytic solution of a functional equation of a special kind. © 2021, Pleiades Publishing, Ltd.
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页码：27 / 39
页数：12
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