Oka principle for Levi flat manifolds View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2019-03

AUTHORS

Samuele Mongodi, Giuseppe Tomassini

ABSTRACT

The name of Oka principle, or Oka–Grauert principle, is traditionally used to refer to the holomorphic incarnation of the homotopy principle: on a Stein space, every problem that can be solved in the continuous category, can be solved in the holomorphic category as well. In this note, we begin the study of the same kind of questions on a Levi-flat manifold; more precisely, we try to obtain a classification of CR-bundles on a semiholomorphic foliation of type (n, 1). Our investigation should only be considered a preliminary exploration, as it deals only with some particular cases, either in terms of regularity or bidegree of the bundle, and partial results. More... »

PAGES

1-20

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s40574-018-0174-0

DOI

http://dx.doi.org/10.1007/s40574-018-0174-0

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1107481539


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