Product Formula for Analytic Torsion on CR manifolds with S^1-action

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/95772

Title:	Product Formula for Analytic Torsion on CR manifolds with S^1-action
Authors:	陳雋介;Chen, Chun-Chien
Contributors:	數學系
Keywords:	柯西黎曼流形;分析橈率;全純橈率;analytic torsion;CR manifold;holomorphic torsion
Date:	2024-07-26
Issue Date:	2024-10-09 17:15:52 (UTC+8)
Publisher:	國立中央大學
Abstract:	在這篇論文中，我們先回顧Ray 和Singer 所引進的全純撓率的定義和一些性質，包括了乘積公式。接著，我們回顧了黃榮宗老師和蕭欽玉老師所引進的在有S^1-action 的柯西黎曼流形上解析橈率的傅立葉分量的定義。最後，我們得到了一些在有S^1-action 的柯西黎曼流形上解析橈率的性質，包括了乘積公式。;In this thesis we first recall the definition and some properties, including product formula, of holomorphic torsion of Ray and Singer. Then we recall the definition of the Fourier components of the analytic torsion on CR manifolds with S^1-action of Huang and Hsiao. Finally, we obtain some properties, including product formula, of the Fourier components of the analytic torsion on CR manifolds with S^1-action.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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