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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Real analytic submanifolds under unimodular transformations

Author: Xiang Hong Gong
Journal: Proc. Amer. Math. Soc. 123 (1995), 191-200
MSC: Primary 32F25
MathSciNet review: 1231299
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Abstract: We study the normal form of totally real and real analytic submanifolds in $ {\mathbb{C}^n}$ under holomorphic unimodular transformations. We also consider the unimodular normal form of real surfaces in $ {\mathbb{C}^2}$ near an elliptic complex tangent with the non-vanishing Bishop invariant or near a non-exceptional hyperbolic complex tangent.

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Keywords: Normal form, unimodular transformations, totally real, complex tangent
Article copyright: © Copyright 1995 American Mathematical Society

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