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CR-SUBMANIFOLDS OF HYPERBOLICAL ALMOST HERMITIAN MANIFOLDS

Demonstratio Mathematica, 1990
Summary: The aim of this paper is to study the class of CR-submanifolds of hyperbolical almost Hermitian manifolds, by following the same ideas of those used in the case of CR-submanifolds of almost Hermitian manifolds [\textit{A. Bejancu}, Geometry of CR-submanifolds (1986; Zbl 0605.53001)].
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\(CR\)-submanifolds of almost Hermitian manifolds

, 1994
\(CR\)-submanifolds are well studied in the case that \((M,g)\) is a Kähler manifold. In this paper, \((M,g)\), in general, is not Kähler. We examine the case of some classes of almost Hermitian manifolds, which generalize the Kähler case. In particular, the more interesting results are obtained for \(CR\)-submanifolds of quasi-Kähler, semi-Kähler, \({\
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WHAT IS...a CR Submanifold?

Notices of the American Mathematical Society, 2017
Phillip Harrington, Andrew Raich
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Paraquaternionic CR-submanifolds of paraquaternionic Kähler manifolds and semi-Riemannian submersions

Open Mathematics, 2010
Ianuş Stere, Marchiafava Stefano, Vîlcu Gabriel   +2 more
doaj   +1 more source

CR-submanifolds of a Kaehler manifold. II

Journal of Differential Geometry, 1981
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CR submanifolds of the six-sphere

, 2010
Let M be a Riemannian submanifold of the six dimensional sphere equipped with its almost complex structure J. It is natural to investigate submanifolds M according to their relations to J. If the tangent bundle of M is invariant for J, then M is an almost complex submanifold, and if J maps the tangent bundle into the corresponding normal bundle M is a ...
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Ideal CR-submanifolds

, 2000
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Submersions of CR submanifolds

Submersions of CR submanifolds
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THE NORMAL HOLONOMY OF CR-SUBMANIFOLDS

THE NORMAL HOLONOMY OF CR-SUBMANIFOLDS
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Submersions of CR Submanifolds

2016
O’Neill introduced the notion of Riemannian submersions (cf. O’Neill, Mich. Math. J. 13, 459–469, 1966, [28]). For the submersion \(\pi :M\longrightarrow N\) of a CR submanifold M of a Kaehler manifold \(\bar{M}\) onto an almost Hermitian manifold N, Kobayashi (cf. Kobayashi, Tohoku Math. J.
Mohammad Hasan Shahid, Falleh R. Al-Solamy, Mohammed Jamali   +2 more
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