CR Submanifolds of Hermitian Manifolds and the Tangential CR Equations

Elisabetta Barletta () and Sorin Dragomir ()
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Elisabetta Barletta: Università degli Studi della Basilicata, Dipartimento di Matematica, Informatica ed Economia
Sorin Dragomir: Università degli Studi della Basilicata, Dipartimento di Matematica, Informatica ed Economia

Chapter Chapter 4 in Geometry of Cauchy-Riemann Submanifolds, 2016, pp 91-122 from Springer

Abstract: Abstract We exhibit the relationship between the second fundamental form and the Levi form of a CR submanifold M (in the sense of A. Bejancu, [5]) in a Hermitian (e.g., Kählerian or locally conformal Kähler) manifold $$M^{2N}$$ M 2 N and start a study of the CR extension problem from M to $$M^{2N}$$ M 2 N .

Keywords: CR submanifold; Tangential Cauchy–Riemann equations; Levi form; CR extension problem; 32V10; 32V25; 53B25; 53C40 (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-10-0916-7_4

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DOI: 10.1007/978-981-10-0916-7_4

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