Measurable Versions of Some Topological Properties for Diffeomorphisms with Continuous Foliations. (21st April 2023)

• Record Type: Journal Article
• Authors: Wang, Lin; Wang, Xinsheng
• Other Names: Wang Lei Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2023(2023)
• Publication Date: 2023-04-21
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2023/6050079
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : In this paper, the concepts of plaque expansivity, topological quasi-stability, and quasi-shadowing property for Borel measures are considered. It is proved that every plaque expansive measure with the quasi-shadowing property is topologically quasi-stable with respect to its continuous foliation. At the same time, some other properties of the topological quasi-stable measures, the plaque expansive measures, and measures with the quasi-shadowing on a compact Riemannian manifold are investigated.