统计流形上的共形向量场

IF 0.6 4区数学 Q3 MATHEMATICS

Revista De La Union Matematica Argentina Pub Date : 2022-09-12 DOI:10.33044/revuma.2118

Leila Samereh, E. Peyghan

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引用次数: 0

摘要

.引入统计流形上的共形向量场，我们给出了统计流形上向量场为共形的必要和充分条件。在给出一些例子后，我们对两个著名的统计流形上的共形向量场进行了分类。考虑统计流形的切丛上的三个统计结构，我们研究了向量场的完全和水平提升在这些结构上可以保角的条件。

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Conformal vector fields on statistical manifolds

. Introducing the conformal vector ﬁelds on a statistical manifold, we present necessary and suﬃcient conditions for a vector ﬁeld on a statistical manifold to be conformal. After presenting some examples, we classify the conformal vector ﬁelds on two famous statistical manifolds. Considering three statistical structures on the tangent bundle of a statistical manifold, we study the conditions under which the complete and horizontal lifts of a vector ﬁeld can be conformal on these structures.

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来源期刊

Revista De La Union Matematica Argentina MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Revista de la Unión Matemática Argentina is an open access journal, free of charge for both authors and readers. We publish original research articles in all areas of pure and applied mathematics.