Results 61 to 70 of about 136 (132)
Foliations on quaternion CR-submanifolds
, 2007 The purpose of this paper is to study the canonical foliations of a quaternion CR-submanifold of a quaternion K hler manifold.
Ianus, Stere +2 more
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Horizontally submersions of contact $CR$-submanifolds
TURKISH JOURNAL OF MATHEMATICS, 2014 In this paper, we discuss some geometric properties of almost contact metric submersions involving symplectic manifolds. We show that the structures of quasi-K-cosymplectic and quasi-Kenmotsu manifolds are related to (1, 2)-symplectic structures.
Fortuné MASSAMBA +1 more
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Closed 3‐forms in five dimensions and embedding problems
Journal of the London Mathematical Society, Volume 109, Issue 4, April 2024.Abstract We consider the question if a five‐dimensional manifold can be embedded into a Calabi–Yau manifold of complex dimension 3 such that the real part of the holomorphic volume form induces a given closed 3‐form on the 5‐manifold. We define an open set of 3‐forms in dimension five which we call strongly pseudoconvex, and show that for closed ...
Simon Donaldson, Fabian Lehmann
wiley +1 more source
MathematicsIn this paper, we investigate contact skew CR-warped product submanifolds of locally conformal almost cosymplectic manifolds, a framework that simultaneously generalizes warped product pseudo-slant, semi-slant, and contact CR-submanifolds.
Ali H. Alkhaldi +3 more
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Singular CR structures of constant Webster curvature and applications
Mathematische Nachrichten, Volume 297, Issue 3, Page 943-961, March 2024.Abstract We consider the sphere S2n+1$\mathbb {S}^{2n+1}$ equipped with its standard contact form. In this paper, we construct explicit contact forms on S2n+1∖S2k+1$\mathbb {S}^{2n+1}\setminus \mathbb {S}^{2k+1}$, which are conformal to the standard one and whose related Webster metrics have constant Webster curvature; in particular, it is positive if ...
Chiara Guidi +2 more
wiley +1 more source
On Warped Product Pointwise Pseudo-Slant Submanifolds of LCK-Manifolds and Their Applications
AxiomsThe concept of pointwise slant submanifolds of a Kähler manifold was presented by Chen and Garay. This research extends this notion to a more general setting, specifically in a locally conformal Kähler manifold. We study the pointwise pseudo-slant warped
Fatimah Alghamdi
doaj +1 more source
Compact homogeneous Leviflat CR-manifolds. [PDF]
Complex Analysis Synerg, 2021 Al-Abdallah AR, Gilligan B.
europepmc +1 more source
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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Quaternion CR-submanifolds of quaternion manifolds
Kodai Mathematical Journal, 1981 A quaternion manifold (or quaternion Kaehlerian manifold [10]) is defined as a Riemannian manifold whose holonomy group is a subgroup of Sp(l). Sp(m)=Sp(l)xSp(m)/{±1}. The quaternion projective space QP, its noncompact dual and the quaternion number space Q are three important examples of quaternion manifolds.
Barros, M., Chen, B.-Y., Urbano, F.
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The Reflection Map and Infinitesimal Deformations of Sphere Mappings. [PDF]
J Geom Anal, 2021 Reiter M.
europepmc +1 more source