On maximal totally real embeddings

Nefton Pali

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arXiv · 1904.09220

On maximal totally real embeddings

Nefton Pali

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Abstract

9We consider complex structures with totally real zero section of the tangent bundle. We assume that the complex structure tensor is real-analytic along the fibers of the tangent bundle. This assumption is quite natural in view of a well known existence result by Bruhat and Whitney. We provide explicit integrability equations for such complex structures in terms of the fiberwise Taylor expansion. In a particular geometric case considered in the literature, we explicit much further the fiberwise Taylor expansion of the complex structure as well as the integrability equations.

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Nefton Pali. 2019-04-19. On maximal totally real embeddings. https://arxiv.org/abs/1904.09220

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