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arXiv · 1307.1874

On purely real surfaces in Kaehler surfaces and Lorentz surfaces in Lorentzian Kaehler surfaces

Bang-Yen Chen
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Abstract

An immersion $ϕ\colon M \to \tilde M$ of a manifold $M$ into an indefinite Kaehler manifold $\tilde M$ is called purely real if the almost complex structure $J$ on $\tilde M$ carries the tangent bundle of $M$ into a transversal bundle. In this article we survey some recent results on purely real surfaces in Kaehler surfaces as well as on Lorentz surfaces in Lorentzian Kaehler surfaces.

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Bang-Yen Chen. 2013-07-07. On purely real surfaces in Kaehler surfaces and Lorentz surfaces in Lorentzian Kaehler surfaces. https://arxiv.org/abs/1307.1874

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