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- W2963186095 abstract "We study the local equivalence problem under biholomorphisms for five-dimensional real hypersurfaces $$M^5$$ of $$mathbb {C}^3$$ which are 2-nondegenerate and of constant Levi rank 1. We find exactly two invariants, J and W, which are expressed explicitly in terms of the graphing function F of M, the vanishing of which gives a necessary and sufficient condition for M to be locally biholomorphic to a model hypersurface, the tube over the light cone. If one of the two invariants J or W does not vanish on M, we show that the equivalence problem under biholomorphisms reduces to an equivalence problem between $${e }$$-structures, that is, we construct an absolute parallelism on M." @default.
- W2963186095 created "2019-07-30" @default.
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- W2963186095 date "2018-02-07" @default.
- W2963186095 modified "2023-10-15" @default.
- W2963186095 title "Explicit Absolute Parallelism for 2-Nondegenerate Real Hypersurfaces $$M^5 subset mathbb {C}^3$$ of Constant Levi Rank 1" @default.
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- W2963186095 doi "https://doi.org/10.1007/s12220-018-9988-3" @default.
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