一类量沿ricci-bourguignon流的演化和单调性

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Korean Mathematical Society Pub Date : 2019-01-01 DOI:10.4134/JKMS.J180525

Farzad Daneshvar, A. Razavi

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引用次数: 4

摘要

．本文考虑了Ricci-Bourguignon流和归一化Ricci-Bourguignon流下最低常数λ ba (g)的单调性，使得方程-∆u + au log u + bRu = λ ba (g) u， (cid:82) m2dv = 1有正解，其中a和b是两个实常数。在Ricci-Bourguignon流和归一化Ricci-Bourguignon流下构造了各种单调量。此外，我们还证明了在Ricci- Bourguignon流下演化的紧致稳定呼吸区应该是Ricci-flat。

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EVOLUTION AND MONOTONICITY FOR A CLASS OF QUANTITIES ALONG THE RICCI-BOURGUIGNON FLOW

. In this paper we consider the monotonicity of the lowest constant λ ba ( g ) under the Ricci-Bourguignon ﬂow and the normalized Ricci- Bourguignon ﬂow such that the equation − ∆ u + au log u + bRu = λ ba ( g ) u with (cid:82) M u 2 dV = 1 , has positive solutions, where a and b are two real con-stants. We also construct various monotonic quantities under the Ricci- Bourguignon ﬂow and the normalized Ricci-Bourguignon ﬂow. Moreover, we prove that a compact steady breather which evolves under the Ricci- Bourguignon ﬂow should be Ricci-ﬂat.

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来源期刊

Journal of the Korean Mathematical Society 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).