投影里奇平面一般（α，β）度量

IF 0.8 3区数学 Q2 MATHEMATICS Acta Mathematica Sinica-English Series Pub Date : 2024-02-02 DOI:10.1007/s10114-024-2043-3

Esra Sengelen Sevim

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引用次数: 0

摘要

在本文中，我们在喷射框架内研究了射影里奇平坦一般（α, β）度量，并揭示了一个重要的射影不变量所显示的丰富行为。射影里奇曲率是芬斯勒几何中重要的射影不变量之一，由沈祖尧提出。投影利玛窦曲率被定义为 Mn 上与给定喷射 G 相关联的投影喷射的利玛窦曲率，其在 Mn 上的体积形式为 dV。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Projectively Ricci-flat general (α, β)-metrics

In this paper, we study the projectively Ricci-flat general (α, β)-metrics within to a spray framework and also bring out the rich variety of behaviour displayed by an important projective invariant. Projective Ricci curvature is one of the essential projective invariant in Finsler geometry which has been introduced by Z. Shen. The projective Ricci curvature is defined as Ricci curvature of a projective spray associated with a given spray G on Mⁿ with a volume form dV on Mⁿ.

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来源期刊

Acta Mathematica Sinica-English Series 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

138

审稿时长

14.5 months

期刊介绍： Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.