In this paper, we study the topological restriction of gradient shrinking Ricci solitons of dimension 4. Let s be the scalar curvature of the metric g. Then we have:
Nous étudions dans cette Note la restriction topologique des solitons de Ricci contractant le gradient, de dimension 4. Soit s la courbure scalaire de la métrique g, alors on a :
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Li Ma 1, 2
@article{CRMATH_2013__351_21-22_817_0, author = {Li Ma}, title = {Remarks on compact shrinking {Ricci} solitons of dimension four}, journal = {Comptes Rendus. Math\'ematique}, pages = {817--823}, publisher = {Elsevier}, volume = {351}, number = {21-22}, year = {2013}, doi = {10.1016/j.crma.2013.10.006}, language = {en}, }
Li Ma. Remarks on compact shrinking Ricci solitons of dimension four. Comptes Rendus. Mathématique, Volume 351 (2013) no. 21-22, pp. 817-823. doi : 10.1016/j.crma.2013.10.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.10.006/
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☆ The research is partially supported by the National Natural Science Foundation of China No. 11271111 and SRFDP 20090002110019. The version here is a revised version after a suggestion from Prof. C. LeBrun during Muenster conference in August of 2006.
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