带密度平移子的变分公式

刘华侨

doi:10.13371/j.cnki.chin.q.j.m.2021.01.002

数学季刊 >

2021 , Vol. 36 >Issue 1: 32 - 40

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2021.01.002

带密度平移子的变分公式

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School of Mathematics and Statistics, Henan University,

LIU Hua-qiao (1981-), male, native of Nanyang, Henan, lecturer of Henan University.

收稿日期: 2021-01-28

网络出版日期: 2021-03-11

基金资助

Supported partially by the key project foundation of Henan Province (Grant No. 18A110014).

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Viaritional Formulas for Translating Solitons with Density

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School of Mathematics and Statistics, Henan University,

LIU Hua-qiao (1981-), male, native of Nanyang, Henan, lecturer of Henan University.

Received date: 2021-01-28

Online published: 2021-03-11

Supported by

Supported partially by the key project foundation of Henan Province (Grant No. 18A110014).

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摘要

In this paper, we introduce a kind of submanifold called translating solitons with density, and obtain two variational formulas for it, and show some geometric quantities of it.

关键词： Translating solitons with density; Variational formula; Mean curvature flow

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刘华侨 .

带密度平移子的变分公式

[J]. 数学季刊, 2021 , 36(1) : 32 -40 . DOI: 10.13371/j.cnki.chin.q.j.m.2021.01.002

Abstract

In this paper, we introduce a kind of submanifold called translating solitons with density, and obtain two variational formulas for it, and show some geometric quantities of it.

Key words：

Translating solitons with density

; Variational formula; Mean curvature flflow.

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Abstract