Volume 49, Issue 1
An Example of Nonexistence of $\kappa$-Solutions to the Ricci Flow

J. Math. Study, 49 (2016), pp. 1-12.

Published online: 2016-03

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• Abstract

In this paper,we construct an example of three-dimensional complete smooth $\kappa$-noncollapsed manifold, which admits no short time smooth complete and $\kappa$-noncollapsed solutions to the Ricci flow.

• Keywords

Ricci flow, nonexistence.

53C25, 53C44

mcscbl@mail.sysu.edu.cn (Bing-Long Chen)

guhuil@mail.sysu.edu.cn (Hui-Ling Gu)

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@Article{JMS-49-1, author = {Bing-Long and Chen and mcscbl@mail.sysu.edu.cn and 13300 and Department of Mathematics, Sun Yat-Sen University, GuangZhou 510275, P.R. China and Bing-Long Chen and Hui-Ling and Gu and guhuil@mail.sysu.edu.cn and 13301 and Department of Mathematics, Sun Yat-Sen University, GuangZhou 510275, P.R. China and Hui-Ling Gu}, title = {An Example of Nonexistence of $\kappa$-Solutions to the Ricci Flow}, journal = {Journal of Mathematical Study}, year = {2016}, volume = {49}, number = {1}, pages = {1--12}, abstract = {

In this paper,we construct an example of three-dimensional complete smooth $\kappa$-noncollapsed manifold, which admits no short time smooth complete and $\kappa$-noncollapsed solutions to the Ricci flow.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v49n1.16.01}, url = {http://global-sci.org/intro/article_detail/jms/983.html} }
TY - JOUR T1 - An Example of Nonexistence of $\kappa$-Solutions to the Ricci Flow AU - Chen , Bing-Long AU - Gu , Hui-Ling JO - Journal of Mathematical Study VL - 1 SP - 1 EP - 12 PY - 2016 DA - 2016/03 SN - 49 DO - http://doi.org/10.4208/jms.v49n1.16.01 UR - https://global-sci.org/intro/article_detail/jms/983.html KW - Ricci flow, nonexistence. AB -

In this paper,we construct an example of three-dimensional complete smooth $\kappa$-noncollapsed manifold, which admits no short time smooth complete and $\kappa$-noncollapsed solutions to the Ricci flow.

Bing-Long Chen & Hui-Ling Gu. (2019). An Example of Nonexistence of $\kappa$-Solutions to the Ricci Flow. Journal of Mathematical Study. 49 (1). 1-12. doi:10.4208/jms.v49n1.16.01
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