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科学研究
报告题目:

Local analytic rigidity of isometries on compact Riemannian manifolds

报告人:

赵之彦(尼斯大学)

报告时间:

报告地点:

理学院东北楼四楼报告厅(404)

报告摘要:

Theory for diffeomorphisms of compact manifolds is an area of prime importance in dynamical systems. However, besides the results on circle diffeomorphisms, the rigidity in the other situation is far from well-known. In a joint work with L. Stolovitch (University Côte d’Azur), we show the local rigidity of the action by analytic isometries of compact real-analytic Riemannian manifolds under certain Diophantine condition. The proof is based on a Kolmogorov-Arnold-Moser scheme.