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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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The scalar curvature of CR submanifold of maximal CR dimension with a conformal change

Journal of Dynamical Systems and Geometric Theories, 2023
In this paper, we investigate the codimension reduction theorem for an n-dimensional submanifold of an (n + p)-dimensional manifold (M, ~g) with a conformal change g = exp(–f)g where g denotes the Fubini-study metric on (n + p)-dimensional complex ...
Sara Miri, M. Ilmakchi
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Weakly Einstein Equivalence in a Golden Space Form and Certain CR-submanifolds

Mathematica Slovaca, 2023
It is known that the Golden space form may not be an Einstein manifold. In this paper, it is shown that the condition to be Einstein for a Golden space form is equivalent to being weakly Einstein.
Jihun Kim, Jeonghyeong Park, Bayram Şahin   +2 more
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Stable currents and homology groups in a compact CR-warped product submanifold with negative constant sectional curvature

, 2020
The main purpose of this paper is to highlight some striking features of the relationship between homology groups and compact warped product submanifolds geometry with negative constant sectional curvature that follows from Lawson and Simons (1973 ...
Akram Ali, A. H. Alkhaldi, Pişcoran Laurian-Ioan   +2 more
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Riemannian maps of CR-submanifolds of Kaehler manifolds

Mathematica Slovaca
In this paper, Riemannian maps from a CR-submanifold of an almost Hermitian manifold to another almost Hermitian manifold are studied. Such Riemannian maps include the special class of CR-submersions, which are well known in the literature.
Bayram Şahin
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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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Geometric inequalities for CR δ-invariant on generic statistical submanifolds

Filomat
B.-Y. Chen [8] introduced the notion of CR ?-invariant on CR-submanifolds. Recently, F.R. Al-Solamy et al. [3, 4] and I. Mihai et al. [11], respectively, established optimal inequalities for this invariant on anti-holomorphic submanifolds in complex ...
A. Siddiqui, Ali Alkhaldi, M. Shahid
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Topological and differentiable sphere theorems for 4-dimensional CR-warped product submanifolds of 6-dimensional unit sphere

Filomat
In this paper, taking into account that the 6-dimensional unit sphere is nearly Kaehler manifold, 4-dimensional CR-warped product submanifolds of the sphere are studied.
Fulya Şahin
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On CR-submanifolds of Hermitian manifolds

Israel Journal of Mathematics, 1979
In this paper we consider a CR-submanifold of a Hermitian manifold and prove various integrability theorems on the submanifold. When the ambient space is Kaehlerian a number of differential geometric results are also obtained.
Blair, David E., Chen, Bang-Yen
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