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Total reality of conormal bundles of hypersurfaces in almost complex manifolds

Andrea Spiro
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Abstract

A generalization to the almost complex setting of a well-known result by S. Webster is given. Namely, we prove that if $Γ$ is a strongly pseudoconvex hypersurface in an almost complex manifold $(M, J)$, then the conormal bundle of $Γ$ is a totally real submanifold of $(T^*M, \J)$, where $\J$ is the lifted almost complex structure on $T^*M$ defined by Ishihara and Yano.

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Andrea Spiro. 2005-02-14. Total reality of conormal bundles of hypersurfaces in almost complex manifolds. https://doi.org/10.1142/s0219887806001454

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