Total reality of conormal bundles of hypersurfaces in almost complex manifolds

Details Total reality of conormal bundles of hypersurfaces in almost complex manifolds Total reality of conormal bundles of hypersurfaces in almost complex manifolds

2005-02-14

arxiv.org/abs/math/0502291v1

Mathematics

Differential Geometry

8 pages

Scientific paper

A generalization to the almost complex setting of a well-known result by S.
Webster is given. Namely, we prove that if $\Gamma$ is a strongly pseudoconvex
hypersurface in an almost complex manifold $(M, J)$, then the conormal bundle
of $\Gamma$ 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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