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arXiv · 1402.0360

Local and Global Hartogs-Bochner Phenomenon in Tubes

Joaquim Tavares
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Abstract

A generalization of the Hartogs theorem is proved for a class of Tubes structures. We assume that the intervening commutative Lie algebra admits at least a number of globally solvable generators greater or equal to the structure codimension. We give necessary and sufficient conditions for the first cohomological group with compact support to be trivial. A such global result was previously obtained only when the supporting manifold was the Euclidean space. Further but canonical work is need to recover the Bochner extension theorem.

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Joaquim Tavares. 2014-02-03. Local and Global Hartogs-Bochner Phenomenon in Tubes. https://arxiv.org/abs/1402.0360

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