On Metric Invariants of Spherical Harmonics

被引：1
|
作者：
Lychagin, Valentin [1 ]
机构：
[1] Trapeznikov Inst Control Sci, Russian Acad Sci, 65 Profsoyuznaya Str, Moscow 117997, Russia
来源：
SYMMETRY-BASEL | 2021年 / 13卷 / 08期
基金：
俄罗斯科学基金会;
关键词：
differential invariants; spherical harmonics; Euler and Laplace equations;
D O I：
10.3390/sym13081470
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The algebraic and differential SO (3)-invariants of spherical harmonics are studied in this work. The fields of rational algebraic and rational differential invariants and their applications for the description of regular SO (3)-orbits of spherical harmonics are given.
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页数：11
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