Viaritional Formulas for Translating Solitons with Density

LIU Hua-qiao

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

Chinese Quarterly Journal of Mathematics >

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

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

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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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.

Cite this article

LIU Hua-qiao .

Viaritional Formulas for Translating Solitons with Density

[J]. Chinese Quarterly Journal of Mathematics, 2021 , 36(1) : 32 -40 . DOI: 10.13371/j.cnki.chin.q.j.m.2021.01.002

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