Triharmonic Riemannian submersions from 3-dimensional space forms

IF 0.5 4区数学 Q3 MATHEMATICS

Advances in Geometry Pub Date : 2021-02-05 DOI:10.1515/advgeom-2020-0033

Tomoya Miura, S. Maeta

引用次数: 0

Abstract

Abstract We show that any triharmonic Riemannian submersion from a 3-dimensional space form into a surface is harmonic. This is an affirmative partial answer to the submersion version of the generalized Chen conjecture. Moreover, a non-existence theorem for f -biharmonic Riemannian submersions is also presented.

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三维空间形式的三谐黎曼淹没

摘要本文证明了从三维空间形式到曲面的任何三调和黎曼浸入都是调和的。这是对广义陈猜想的淹没版本的肯定的部分回答。此外，还给出了f -双调和黎曼淹没的一个不存在定理。

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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来源期刊

Advances in Geometry 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Geometry is a mathematical journal for the publication of original research articles of excellent quality in the area of geometry. Geometry is a field of long standing-tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity; geometric ideas and geometric language permeate all of mathematics.