紧星型超曲面上闭特征问题的若干新进展——献给陈化教授 70 寿辰

Abstract

Abstract:

This paper mainly introduces the multiplicity conjecture and Hofer-Wysocki-Zehnder conjecture for closed characteristics on compact star-shaped hypersurfaces in ${\mathbb{R}}^{2n}$, and some recent related progresses on them, furthermore we introduce the corresponding closed orbit problems for contact manifold and explain the research methods therein, which involve Variational Method and Morse Theory、Dynamical System、Symplectic Geometry, and so on.

Key words: compact star-shaped hypersurface, closed characteristic, multiplicity, contact manifold

CLC Number:

O175.23

Hui Liu. Some New Progress for the Problems About Closed Characteristics on Compact Star-Shaped Hypersurfaces[J].Acta mathematica scientia,Series A, 2026, 46(2): 493-502.

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References 48

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Some New Progress for the Problems About Closed Characteristics on Compact Star-Shaped Hypersurfaces

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