Sufficient conditions for the extension ofC R structures |
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Authors: | David Catlin |
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Institution: | 1. Department of Mathematics, Purdue University, 47907, West Lafayette, IN
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Abstract: | LetM be a smoothC R manifold of dimension 2n ? 1 such that at each point, either the Levi form has at least 3 positive eigenvalues or it hasn ? 1 negative eigenvalues. IfD is a smoothly bounded subdomain ofM, then there is a smoothly bounded integrable almost complex manifoldX of dimension 2n such thatM is contained in the boundary ofX and such that theC R structure thatM inherits as a subset ofX coincides with the original structure ofM. |
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