INFINITESIMAL DERIVATIVE OF THE BOTT CLASS AND THE SCHWARZIAN DERIVATIVES

• ASUKE TARO

  Graduate School of Mathematical Sciences, University of Tokyo

抄録

An infinitesimal derivative of the Bott class is defined by generalizing Heitsch'es construction. We prove a formula relating the infinitesimal derivative to the Schwarzian derivatives, which gives a generalization of the Maszczyk formula for the Godbillon-Vey class of real codimension-one foliations. As an application, a residue of infinitesimal derivatives with respect to the Julia set in the sense of Ghys, Gomez-Mont and Saludes is introduced.

収録刊行物

• Ｔｏｈｏｋｕ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｊｏｕｒｎａｌ，　Ｓｅｃｏｎｄ　Ｓｅｒｉｅｓ

  Ｔｏｈｏｋｕ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｊｏｕｒｎａｌ，　Ｓｅｃｏｎｄ　Ｓｅｒｉｅｓ 61 (3), 393-416, 2009

  東北大学大学院理学研究科数学専攻

キーワード

• Infinitesimal deformations
• Bott class
• Schwarzian derivatives

詳細情報

• CRID: 1390282680094437760
• NII論文ID: 110007476054
• NII書誌ID: AA00863953
• DOI: 10.2748/tmj/1255700201
• ISSN: 2186585X
• ISSN: 00408735
• MRID: 2568261
• 本文言語コード: en
• データソース種別:
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