The second variation of the Ricci expander entropy

Meng Zhu

doi:10.2140/pjm.2011.251.499

The second variation of the Ricci expander entropy

Meng Zhu^*

^*此作品的通讯作者

Lehigh University

科研成果: 期刊稿件 › 文章 › 同行评审

6 引用（Scopus）

摘要

The critical points of theW₊ functional introduced by M. Feldman, T. Ilmanen and L. Ni are the expanding Ricci solitons, which are special solutions of the Ricci flow. On compact manifolds, expanding solitons coincide with Einstein metrics. In this paper, we compute the first and second variations of the entropy functional of theW₊ functional, and briefly discuss the linear stability of compact hyperbolic space forms.

源语言	英语
页（从-至）	499-510
页数	12
期刊	Pacific Journal of Mathematics
卷	251
期	2
DOI	https://doi.org/10.2140/pjm.2011.251.499
出版状态	已出版 - 2011
已对外发布	是

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abstract = "The critical points of theW+ functional introduced by M. Feldman, T. Ilmanen and L. Ni are the expanding Ricci solitons, which are special solutions of the Ricci flow. On compact manifolds, expanding solitons coincide with Einstein metrics. In this paper, we compute the first and second variations of the entropy functional of theW+ functional, and briefly discuss the linear stability of compact hyperbolic space forms.",

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AB - The critical points of theW+ functional introduced by M. Feldman, T. Ilmanen and L. Ni are the expanding Ricci solitons, which are special solutions of the Ricci flow. On compact manifolds, expanding solitons coincide with Einstein metrics. In this paper, we compute the first and second variations of the entropy functional of theW+ functional, and briefly discuss the linear stability of compact hyperbolic space forms.

KW - Entropy functional

KW - Linear stability

KW - Linear variation

KW - Negative einstein manifold

KW - Second variation

KW - W functional

KW - ν functional

UR - https://www.scopus.com/pages/publications/79959208455

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DO - 10.2140/pjm.2011.251.499

M3 - 文章

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VL - 251

SP - 499

EP - 510

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

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ER -

The second variation of the Ricci expander entropy

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