Let $M$ be a smooth pseudoconvex hypersurface in $\mathbb{C}^{n+1}$ whose Levi form has at most one degenerate eigenvalue. For any tangent vector field $L$ of type $(1,0)$, we prove the equality of the commutator type and the Levi form type associated to $L$. We also show that the regular contact type, the commutator type and the Levi form type of the real hypersurface are the same.
Wei CHEN
,
Yingxiang CHEN
,
Wanke YIN
. FINITE TYPE CONDITIONS ON REAL HYPERSURFACES WITH ONE DEGENERATE EIGENVALUE[J]. Acta mathematica scientia, Series B, 2021
, 41(6)
: 1949
-1958
.
DOI: 10.1007/s10473-021-0611-5
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