Real analytic submanifolds under unimodular transformations

Gong, Xiang Hong

doi:10.1090/S0002-9939-1995-1231299-8

Real analytic submanifolds under unimodular transformations
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by Xiang Hong Gong

Proc. Amer. Math. Soc. 123 (1995), 191-200

DOI: https://doi.org/10.1090/S0002-9939-1995-1231299-8

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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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