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姓名 李家賢(Chia-hsien Li) 查詢紙本館藏 畢業系所 數學系 論文名稱
(Partially Volume-Preserving Normal Form for Strongly Pseudoconvex Real Hypersurfaces in 2-dimensional Complex Space)相關論文
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摘要(中) 我們閱讀Hammond的論文:「Variational problems for Fefferman hypersurface measure and volume-preserving CR invariants」並學習如何於保體積的變換群下,在二維複空間裡的嚴格擬凸實超曲面上構造部分標準式,並且找出相應的不變量。 摘要(英) We study Hammond′s paper: ``Variational problems for Fefferman hypersurface measure and volume-preserving CR invariants” and learn how to construct a partially Moser′s normal form for strongly pseudoconvex real hypersurfaces in 2-dimensional complex space with respect to the group of volume-preserving transformations of 2-dimensional complex and drive its invariants. 關鍵字(中) ★ 嚴格擬凸實超曲面 關鍵字(英) 論文目次 1 Introduction ...................................1
2 Partially Volume-Preserving Normal Form........ 2
3 Locally Volume-Preserving Invariants........... 7
References ....................................11參考文獻 Boggess, A.: CR Manifolds and the Tangential Cauchy-Riemann Complex, CRC Press, 1991.
Chern, S.S. and Moser, J.K.: Real hypersurfaces in complex manifolds, Acta Math. 133(1974), 219-271.
Forstneric, F.: Interpolation by Holomorphic Automorphisms and Embeddings in C^2, J. Geom. Anal. 9(1999), 93-117.
Hammond, C.: Variational problems for Fefferman hypersurface measure and volume-preserving CR invariants, J. Geom. Anal. 21(2011), 372-408.
Jacobowitz, H.: An introdution to CR structures, Mathem. Surveys and Monographs, No. 32, Providence, RI, 1990.指導教授 邱鴻麟(Hung-Lin Chiu) 審核日期 2015-1-7 推文 plurk
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