Abstract

Let M be an analytic real hypersurface through the origin in Cn+1 and let hol (M) denote the space of vector fields X=Re Z|M tangent to M in a neighborhood of the origin, where Z is a holomorphic vector field defined in a neighborhood of the origin. The hypersurface M is holomorphically nondegenerate at the origin if there is no holomorphic vector field tangent to M in a neighborhood of the origin. The main result of the paper is that hol (M) is finite dimensional if and only if M is holomorphically nondegenerate at the origin.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 209-233
Launched on MUSE
1996-02-01
Open Access
N
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