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Levi form of CR submanifolds of maximal CR dimension of a complex space form

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CR Submanifolds of Complex Projective Space

Part of the book series: Developments in Mathematics ((DEVM,volume 19))

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Abstract

Considering the Levi form on CR submanifolds M n of maximal CR dimension of complex space forms \(\overline M^{\frac{n+p}{2}}\), we prove in this section that on some remarkable real submanifolds of complex projective space the Levi form can never vanish and we determine all such submanifolds in the case when the ambient manifold is a complex Euclidean space.

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Correspondence to Mirjana Djorić .

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Djorić, M., Okumura, M. (2010). Levi form of CR submanifolds of maximal CR dimension of a complex space form. In: CR Submanifolds of Complex Projective Space. Developments in Mathematics, vol 19. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-0434-8_18

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